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Field theory [[electronic resource] ] : a path integral approach / / Ashok Das
| Field theory [[electronic resource] ] : a path integral approach / / Ashok Das |
| Autore | Das Ashok <1953-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (377 p.) |
| Disciplina |
530.12
530.14/3 530.143 |
| Collana | World Scientific lecture notes in physics |
| Soggetto topico |
Path integrals
Quantum field theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-92465-2
9786611924652 981-277-326-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface to the First Edition; Preface to the Second Edition; Contents; 1. Introduction; 1.1 Particles and Fields; 1.2 Metric and Other Notations; 1.3 Functionals; 1.4 Review of Quantum Mechanics; 1.5 References; 2. Path Integrals and Quantum Mechanics; 2.1 Basis States; 2.2 Operator Ordering; 2.3 The Classical Limit; 2.4 Equivalence with the Schrodinger Equation; 2.5 Free Particle; 2.6 References; 3. Harmonic Oscillator; 3.1 Path Integral for the Harmonic Oscillator; 3.2 Method of Fourier Transform; 3.3 Matrix Method; 3.4 The Classical Action; 3.5 References; 4. Generating Functional
4.1 Euclidean Rotation4.2 Time Ordered Correlation Functions; 4.3 Correlation Functions in Definite States; 4.4 Vacuum Functional; 4.5 Anharmonic Oscillator; 4.6 References; 5. Path Integrals for Fermions; 5.1 Fermionic Oscillator; 5.2 Grassmann Variables; 5.3 Generating Functional; 5.4 Feynman Propagator; 5.5 The Fermion Determinant; 5.6 References; 6. Supersymmetry; 6.1 Supersymmetric Oscillator; 6.2 Supersymmetric Quantum Mechanics; 6.3 Shape Invariance; 6.4 Example; 6.5 Supersymmetry and Singular Potentials; 6.6 References; 7. Semi-Classical Methods; 7.1 WKB Approximation 7.2 Saddle Point Method7.3 Semi-Classical Methods in Path Integrals; 7.4 Double Well Potential; 7.5 References; 8. Path Integral for the Double Well; 8.1 Instantons; 8.2 Zero Modes; 8.3 The Instanton Integral; 8.4 Evaluating the Determinant; 8.5 Multi-Instanton Contributions; 8.6 References; 9. Path Integral for Relativistic Theories; 9.1 Systems with Many Degrees of Freedom; 9.2 Relativistic Scalar Field Theory; 9.3 Feynman Rules; 9.4 Connected Diagrams; 9.5 References; 10. Effective Action; 10.1 The Classical Field; 10.2 Effective Action; 10.3 Loop Expansion 10.4 Effective Potential at One Loop10.5 References; 11. Invariances and Their Consequences; 11.1 Symmetries of the Action; 11.2 Noether's Theorem; 11.3 Complex Scalar Field; 11.4 Ward Identities; 11.5 Spontaneous Symmetry Breaking; 11.6 Goldstone Theorem; 11.7 References; 12. Gauge Theories; 12.1 Maxwell Theory; 12.2 Non-Abelian Gauge Theory; 12.3 Path Integral for Gauge Theories; 12.4 BRST Invariance; 12.5 Ward Identities; 12.6 References; 13. Anomalies; 13.1 Anomalous Ward Identity; 13.2 Schwinger Model; 13.3 References; 14. Systems at Finite Temperature; 14.1 Statistical Mechanics 14.2 Critical Exponents14.3 Harmonic Oscillator; 14.4 Fermionic Oscillator; 14.5 References; 15. Ising Model; 15.1 One Dimensional Ising Model; 15.2 The Partition Function; 15.3 Two Dimensional Ising Model; 15.4 Duality; 15.5 High and Low Temperature Expansions; 15.6 Quantum Mechanical Model; 15.7 Duality in the Quantum System; 15.8 References; Index |
| Record Nr. | UNINA-9910453115503321 |
Das Ashok <1953->
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Field theory [[electronic resource] ] : a path integral approach / / Ashok Das
| Field theory [[electronic resource] ] : a path integral approach / / Ashok Das |
| Autore | Das Ashok <1953-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (377 p.) |
| Disciplina |
530.12
530.14/3 530.143 |
| Collana | World Scientific lecture notes in physics |
| Soggetto topico |
Path integrals
Quantum field theory |
| ISBN |
1-281-92465-2
9786611924652 981-277-326-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface to the First Edition; Preface to the Second Edition; Contents; 1. Introduction; 1.1 Particles and Fields; 1.2 Metric and Other Notations; 1.3 Functionals; 1.4 Review of Quantum Mechanics; 1.5 References; 2. Path Integrals and Quantum Mechanics; 2.1 Basis States; 2.2 Operator Ordering; 2.3 The Classical Limit; 2.4 Equivalence with the Schrodinger Equation; 2.5 Free Particle; 2.6 References; 3. Harmonic Oscillator; 3.1 Path Integral for the Harmonic Oscillator; 3.2 Method of Fourier Transform; 3.3 Matrix Method; 3.4 The Classical Action; 3.5 References; 4. Generating Functional
4.1 Euclidean Rotation4.2 Time Ordered Correlation Functions; 4.3 Correlation Functions in Definite States; 4.4 Vacuum Functional; 4.5 Anharmonic Oscillator; 4.6 References; 5. Path Integrals for Fermions; 5.1 Fermionic Oscillator; 5.2 Grassmann Variables; 5.3 Generating Functional; 5.4 Feynman Propagator; 5.5 The Fermion Determinant; 5.6 References; 6. Supersymmetry; 6.1 Supersymmetric Oscillator; 6.2 Supersymmetric Quantum Mechanics; 6.3 Shape Invariance; 6.4 Example; 6.5 Supersymmetry and Singular Potentials; 6.6 References; 7. Semi-Classical Methods; 7.1 WKB Approximation 7.2 Saddle Point Method7.3 Semi-Classical Methods in Path Integrals; 7.4 Double Well Potential; 7.5 References; 8. Path Integral for the Double Well; 8.1 Instantons; 8.2 Zero Modes; 8.3 The Instanton Integral; 8.4 Evaluating the Determinant; 8.5 Multi-Instanton Contributions; 8.6 References; 9. Path Integral for Relativistic Theories; 9.1 Systems with Many Degrees of Freedom; 9.2 Relativistic Scalar Field Theory; 9.3 Feynman Rules; 9.4 Connected Diagrams; 9.5 References; 10. Effective Action; 10.1 The Classical Field; 10.2 Effective Action; 10.3 Loop Expansion 10.4 Effective Potential at One Loop10.5 References; 11. Invariances and Their Consequences; 11.1 Symmetries of the Action; 11.2 Noether's Theorem; 11.3 Complex Scalar Field; 11.4 Ward Identities; 11.5 Spontaneous Symmetry Breaking; 11.6 Goldstone Theorem; 11.7 References; 12. Gauge Theories; 12.1 Maxwell Theory; 12.2 Non-Abelian Gauge Theory; 12.3 Path Integral for Gauge Theories; 12.4 BRST Invariance; 12.5 Ward Identities; 12.6 References; 13. Anomalies; 13.1 Anomalous Ward Identity; 13.2 Schwinger Model; 13.3 References; 14. Systems at Finite Temperature; 14.1 Statistical Mechanics 14.2 Critical Exponents14.3 Harmonic Oscillator; 14.4 Fermionic Oscillator; 14.5 References; 15. Ising Model; 15.1 One Dimensional Ising Model; 15.2 The Partition Function; 15.3 Two Dimensional Ising Model; 15.4 Duality; 15.5 High and Low Temperature Expansions; 15.6 Quantum Mechanical Model; 15.7 Duality in the Quantum System; 15.8 References; Index |
| Record Nr. | UNINA-9910782499303321 |
|
Das Ashok <1953->
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Field theory [[electronic resource] ] : a path integral approach / / Ashok Das
| Field theory [[electronic resource] ] : a path integral approach / / Ashok Das |
| Autore | Das Ashok <1953-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (377 p.) |
| Disciplina |
530.12
530.14/3 530.143 |
| Collana | World Scientific lecture notes in physics |
| Soggetto topico |
Path integrals
Quantum field theory |
| ISBN |
1-281-92465-2
9786611924652 981-277-326-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface to the First Edition; Preface to the Second Edition; Contents; 1. Introduction; 1.1 Particles and Fields; 1.2 Metric and Other Notations; 1.3 Functionals; 1.4 Review of Quantum Mechanics; 1.5 References; 2. Path Integrals and Quantum Mechanics; 2.1 Basis States; 2.2 Operator Ordering; 2.3 The Classical Limit; 2.4 Equivalence with the Schrodinger Equation; 2.5 Free Particle; 2.6 References; 3. Harmonic Oscillator; 3.1 Path Integral for the Harmonic Oscillator; 3.2 Method of Fourier Transform; 3.3 Matrix Method; 3.4 The Classical Action; 3.5 References; 4. Generating Functional
4.1 Euclidean Rotation4.2 Time Ordered Correlation Functions; 4.3 Correlation Functions in Definite States; 4.4 Vacuum Functional; 4.5 Anharmonic Oscillator; 4.6 References; 5. Path Integrals for Fermions; 5.1 Fermionic Oscillator; 5.2 Grassmann Variables; 5.3 Generating Functional; 5.4 Feynman Propagator; 5.5 The Fermion Determinant; 5.6 References; 6. Supersymmetry; 6.1 Supersymmetric Oscillator; 6.2 Supersymmetric Quantum Mechanics; 6.3 Shape Invariance; 6.4 Example; 6.5 Supersymmetry and Singular Potentials; 6.6 References; 7. Semi-Classical Methods; 7.1 WKB Approximation 7.2 Saddle Point Method7.3 Semi-Classical Methods in Path Integrals; 7.4 Double Well Potential; 7.5 References; 8. Path Integral for the Double Well; 8.1 Instantons; 8.2 Zero Modes; 8.3 The Instanton Integral; 8.4 Evaluating the Determinant; 8.5 Multi-Instanton Contributions; 8.6 References; 9. Path Integral for Relativistic Theories; 9.1 Systems with Many Degrees of Freedom; 9.2 Relativistic Scalar Field Theory; 9.3 Feynman Rules; 9.4 Connected Diagrams; 9.5 References; 10. Effective Action; 10.1 The Classical Field; 10.2 Effective Action; 10.3 Loop Expansion 10.4 Effective Potential at One Loop10.5 References; 11. Invariances and Their Consequences; 11.1 Symmetries of the Action; 11.2 Noether's Theorem; 11.3 Complex Scalar Field; 11.4 Ward Identities; 11.5 Spontaneous Symmetry Breaking; 11.6 Goldstone Theorem; 11.7 References; 12. Gauge Theories; 12.1 Maxwell Theory; 12.2 Non-Abelian Gauge Theory; 12.3 Path Integral for Gauge Theories; 12.4 BRST Invariance; 12.5 Ward Identities; 12.6 References; 13. Anomalies; 13.1 Anomalous Ward Identity; 13.2 Schwinger Model; 13.3 References; 14. Systems at Finite Temperature; 14.1 Statistical Mechanics 14.2 Critical Exponents14.3 Harmonic Oscillator; 14.4 Fermionic Oscillator; 14.5 References; 15. Ising Model; 15.1 One Dimensional Ising Model; 15.2 The Partition Function; 15.3 Two Dimensional Ising Model; 15.4 Duality; 15.5 High and Low Temperature Expansions; 15.6 Quantum Mechanical Model; 15.7 Duality in the Quantum System; 15.8 References; Index |
| Record Nr. | UNINA-9910812310903321 |
|
Das Ashok <1953->
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures on gravitation [[electronic resource] /] / Ashok Das
| Lectures on gravitation [[electronic resource] /] / Ashok Das |
| Autore | Das Ashok <1953-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (351 p.) |
| Disciplina | 531.14 |
| Soggetto topico |
General relativity (Physics)
Big bang theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-14862-5
9786613148629 981-4329-39-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; 1 Basics of geometry and relativity; 2 Relativistic dynamics; 3 Principle of general covariance; 4 Affine connection and covariant derivative; 5 Geodesic equation; 6 Applications of the geodesic equation; 7 Curvature tensor and Einstein's equation; 8 Schwarzschild solution; 9 Tests of general relativity; 10 Black holes; 11 Cosmological models and the big bang theory; Index |
| Record Nr. | UNINA-9910456606903321 |
|
Das Ashok <1953->
|
||
| Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures on gravitation [[electronic resource] /] / Ashok Das
| Lectures on gravitation [[electronic resource] /] / Ashok Das |
| Autore | Das Ashok <1953-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (351 p.) |
| Disciplina | 531.14 |
| Soggetto topico |
General relativity (Physics)
Big bang theory |
| ISBN |
1-283-14862-5
9786613148629 981-4329-39-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; 1 Basics of geometry and relativity; 2 Relativistic dynamics; 3 Principle of general covariance; 4 Affine connection and covariant derivative; 5 Geodesic equation; 6 Applications of the geodesic equation; 7 Curvature tensor and Einstein's equation; 8 Schwarzschild solution; 9 Tests of general relativity; 10 Black holes; 11 Cosmological models and the big bang theory; Index |
| Record Nr. | UNINA-9910781202103321 |
|
Das Ashok <1953->
|
||
| Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures on gravitation [[electronic resource] /] / Ashok Das
| Lectures on gravitation [[electronic resource] /] / Ashok Das |
| Autore | Das Ashok <1953-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (351 p.) |
| Disciplina | 531.14 |
| Soggetto topico |
General relativity (Physics)
Big bang theory |
| ISBN |
1-283-14862-5
9786613148629 981-4329-39-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; 1 Basics of geometry and relativity; 2 Relativistic dynamics; 3 Principle of general covariance; 4 Affine connection and covariant derivative; 5 Geodesic equation; 6 Applications of the geodesic equation; 7 Curvature tensor and Einstein's equation; 8 Schwarzschild solution; 9 Tests of general relativity; 10 Black holes; 11 Cosmological models and the big bang theory; Index |
| Record Nr. | UNINA-9910819225403321 |
|
Das Ashok <1953->
|
||
| Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures on quantum field theory [[electronic resource] /] / Ashok Das
| Lectures on quantum field theory [[electronic resource] /] / Ashok Das |
| Autore | Das Ashok <1953-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (792 p.) |
| Disciplina | 530.14/3 |
| Soggetto topico |
Quantum field theory
Field theory (Physics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-283-287-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1 Relativistic equations; 1.1 Introduction; 1.2 Notations.; 1.3 Klein-Gordon equation; 1.3.1 Klein paradox; 1.4 Dirac equation.; 1.5 References; 2 Solutions of the Dirac equation; 2.1 Plane wave solutions; 2.2 Normalization of the wave function; 2.3 Spin of the Dirac particle.; 2.4 Continuity equation.; 2.5 Dirac's hole theory; 2.6 Properties of the Dirac matrices; 2.6.1 Fierz rearrangement; 2.7 References; 3 Properties of the Dirac equation; 3.1 Lorentz transformations; 3.2 Covariance of the Dirac equation; 3.3 Transformation of bilinears.
3.4 Projection operators, completeness relation3.5 Helicity; 3.6 Massless Dirac particle; 3.7 Chirality; 3.8 Non-relativistic limit of the Dirac equation.; 3.9 Electron in an external magnetic field; 3.10 Foldy-Wouthuysen transformation.; 3.11 Zitterbewegung; 3.12 References; 4 Representations of Lorentz and Poincar ́e groups; 4.1 Symmetry algebras; 4.1.1 Rotation; 4.1.2 Translation; 4.1.3 Lorentz transformation; 4.1.4 Poincar ́e transformation; 4.2 Representations of the Lorentz group; 4.2.1 Similarity transformations and representations; 4.3 Unitary representations of the Poincar ́e group 4.3.1 Massive representation4.3.2 Massless representation; 4.4 References; 5 Free Klein-Gordon field theory; 5.1 Introduction; 5.2 Lagrangian density; 5.3 Quantization.; 5.4 Field decomposition.; 5.5 Creation and annihilation operators.; 5.6 Energy eigenstates; 5.7 Physical meaning of energy eigenstates; 5.8 Green's functions; 5.9 Covariant commutation relations; 5.10 References; 6 Self-interacting scalar field theory; 6.1 N ̈other's theorem; 6.1.1 Space-time translation; 6.2 Self-interacting 4 theory.; 6.3 Interaction picture and time evolution operator; 6.4 S-matrix 6.5 Normal ordered product and Wick's theorem6.6 Time ordered products and Wick's theorem; 6.7 Spectral representation and dispersion relation; 6.8 References; 7 Complex scalar field theory; 7.1 Quantization.; 7.2 Field decomposition.; 7.3 Charge operator; 7.4 Green's functions; 7.5 Spontaneous symmetry breaking and the Goldstone theorem; 7.6 Electromagnetic coupling.; 7.7 References; 8 Dirac field theory.; 8.1 Pauli exclusion principle; 8.2 Quantization of the Dirac field.; 8.3 Field decomposition.; 8.4 Charge operator; 8.5 Green's functions; 8.6 Covariant anti-commutation relations 8.7 Normal ordered and time ordered products8.8 Massless Dirac fields; 8.9 Yukawa interaction; 8.10 Feynman diagrams; 8.11 References; 9 Maxwell field theory; 9.1 Maxwell's equations.; 9.2 Canonical quantization; 9.3 Field decomposition.; 9.4 Photon propagator; 9.5 Quantum electrodynamics; 9.6 Physical processes; 9.7 Ward-Takahashi identity in QED; 9.8 Covariant quantization of the Maxwell theory; 9.9 References; 10 Dirac method for constrained systems; 10.1 Constrained systems; 10.2 Dirac method and Dirac bracket.; 10.3 Particle moving on a sphere; 10.4 Relativistic particle 10.5 Dirac field theory |
| Record Nr. | UNINA-9910454581803321 |
|
Das Ashok <1953->
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures on quantum field theory [[electronic resource] /] / Ashok Das
| Lectures on quantum field theory [[electronic resource] /] / Ashok Das |
| Autore | Das Ashok <1953-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (792 p.) |
| Disciplina | 530.14/3 |
| Soggetto topico |
Quantum field theory
Field theory (Physics) |
| ISBN | 981-283-287-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1 Relativistic equations; 1.1 Introduction; 1.2 Notations.; 1.3 Klein-Gordon equation; 1.3.1 Klein paradox; 1.4 Dirac equation.; 1.5 References; 2 Solutions of the Dirac equation; 2.1 Plane wave solutions; 2.2 Normalization of the wave function; 2.3 Spin of the Dirac particle.; 2.4 Continuity equation.; 2.5 Dirac's hole theory; 2.6 Properties of the Dirac matrices; 2.6.1 Fierz rearrangement; 2.7 References; 3 Properties of the Dirac equation; 3.1 Lorentz transformations; 3.2 Covariance of the Dirac equation; 3.3 Transformation of bilinears.
3.4 Projection operators, completeness relation3.5 Helicity; 3.6 Massless Dirac particle; 3.7 Chirality; 3.8 Non-relativistic limit of the Dirac equation.; 3.9 Electron in an external magnetic field; 3.10 Foldy-Wouthuysen transformation.; 3.11 Zitterbewegung; 3.12 References; 4 Representations of Lorentz and Poincar ́e groups; 4.1 Symmetry algebras; 4.1.1 Rotation; 4.1.2 Translation; 4.1.3 Lorentz transformation; 4.1.4 Poincar ́e transformation; 4.2 Representations of the Lorentz group; 4.2.1 Similarity transformations and representations; 4.3 Unitary representations of the Poincar ́e group 4.3.1 Massive representation4.3.2 Massless representation; 4.4 References; 5 Free Klein-Gordon field theory; 5.1 Introduction; 5.2 Lagrangian density; 5.3 Quantization.; 5.4 Field decomposition.; 5.5 Creation and annihilation operators.; 5.6 Energy eigenstates; 5.7 Physical meaning of energy eigenstates; 5.8 Green's functions; 5.9 Covariant commutation relations; 5.10 References; 6 Self-interacting scalar field theory; 6.1 N ̈other's theorem; 6.1.1 Space-time translation; 6.2 Self-interacting 4 theory.; 6.3 Interaction picture and time evolution operator; 6.4 S-matrix 6.5 Normal ordered product and Wick's theorem6.6 Time ordered products and Wick's theorem; 6.7 Spectral representation and dispersion relation; 6.8 References; 7 Complex scalar field theory; 7.1 Quantization.; 7.2 Field decomposition.; 7.3 Charge operator; 7.4 Green's functions; 7.5 Spontaneous symmetry breaking and the Goldstone theorem; 7.6 Electromagnetic coupling.; 7.7 References; 8 Dirac field theory.; 8.1 Pauli exclusion principle; 8.2 Quantization of the Dirac field.; 8.3 Field decomposition.; 8.4 Charge operator; 8.5 Green's functions; 8.6 Covariant anti-commutation relations 8.7 Normal ordered and time ordered products8.8 Massless Dirac fields; 8.9 Yukawa interaction; 8.10 Feynman diagrams; 8.11 References; 9 Maxwell field theory; 9.1 Maxwell's equations.; 9.2 Canonical quantization; 9.3 Field decomposition.; 9.4 Photon propagator; 9.5 Quantum electrodynamics; 9.6 Physical processes; 9.7 Ward-Takahashi identity in QED; 9.8 Covariant quantization of the Maxwell theory; 9.9 References; 10 Dirac method for constrained systems; 10.1 Constrained systems; 10.2 Dirac method and Dirac bracket.; 10.3 Particle moving on a sphere; 10.4 Relativistic particle 10.5 Dirac field theory |
| Record Nr. | UNINA-9910777956103321 |
|
Das Ashok <1953->
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures on quantum field theory [[electronic resource] /] / Ashok Das
| Lectures on quantum field theory [[electronic resource] /] / Ashok Das |
| Autore | Das Ashok <1953-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (792 p.) |
| Disciplina | 530.14/3 |
| Soggetto topico |
Quantum field theory
Field theory (Physics) |
| ISBN | 981-283-287-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1 Relativistic equations; 1.1 Introduction; 1.2 Notations.; 1.3 Klein-Gordon equation; 1.3.1 Klein paradox; 1.4 Dirac equation.; 1.5 References; 2 Solutions of the Dirac equation; 2.1 Plane wave solutions; 2.2 Normalization of the wave function; 2.3 Spin of the Dirac particle.; 2.4 Continuity equation.; 2.5 Dirac's hole theory; 2.6 Properties of the Dirac matrices; 2.6.1 Fierz rearrangement; 2.7 References; 3 Properties of the Dirac equation; 3.1 Lorentz transformations; 3.2 Covariance of the Dirac equation; 3.3 Transformation of bilinears.
3.4 Projection operators, completeness relation3.5 Helicity; 3.6 Massless Dirac particle; 3.7 Chirality; 3.8 Non-relativistic limit of the Dirac equation.; 3.9 Electron in an external magnetic field; 3.10 Foldy-Wouthuysen transformation.; 3.11 Zitterbewegung; 3.12 References; 4 Representations of Lorentz and Poincar ́e groups; 4.1 Symmetry algebras; 4.1.1 Rotation; 4.1.2 Translation; 4.1.3 Lorentz transformation; 4.1.4 Poincar ́e transformation; 4.2 Representations of the Lorentz group; 4.2.1 Similarity transformations and representations; 4.3 Unitary representations of the Poincar ́e group 4.3.1 Massive representation4.3.2 Massless representation; 4.4 References; 5 Free Klein-Gordon field theory; 5.1 Introduction; 5.2 Lagrangian density; 5.3 Quantization.; 5.4 Field decomposition.; 5.5 Creation and annihilation operators.; 5.6 Energy eigenstates; 5.7 Physical meaning of energy eigenstates; 5.8 Green's functions; 5.9 Covariant commutation relations; 5.10 References; 6 Self-interacting scalar field theory; 6.1 N ̈other's theorem; 6.1.1 Space-time translation; 6.2 Self-interacting 4 theory.; 6.3 Interaction picture and time evolution operator; 6.4 S-matrix 6.5 Normal ordered product and Wick's theorem6.6 Time ordered products and Wick's theorem; 6.7 Spectral representation and dispersion relation; 6.8 References; 7 Complex scalar field theory; 7.1 Quantization.; 7.2 Field decomposition.; 7.3 Charge operator; 7.4 Green's functions; 7.5 Spontaneous symmetry breaking and the Goldstone theorem; 7.6 Electromagnetic coupling.; 7.7 References; 8 Dirac field theory.; 8.1 Pauli exclusion principle; 8.2 Quantization of the Dirac field.; 8.3 Field decomposition.; 8.4 Charge operator; 8.5 Green's functions; 8.6 Covariant anti-commutation relations 8.7 Normal ordered and time ordered products8.8 Massless Dirac fields; 8.9 Yukawa interaction; 8.10 Feynman diagrams; 8.11 References; 9 Maxwell field theory; 9.1 Maxwell's equations.; 9.2 Canonical quantization; 9.3 Field decomposition.; 9.4 Photon propagator; 9.5 Quantum electrodynamics; 9.6 Physical processes; 9.7 Ward-Takahashi identity in QED; 9.8 Covariant quantization of the Maxwell theory; 9.9 References; 10 Dirac method for constrained systems; 10.1 Constrained systems; 10.2 Dirac method and Dirac bracket.; 10.3 Particle moving on a sphere; 10.4 Relativistic particle 10.5 Dirac field theory |
| Record Nr. | UNINA-9910814661003321 |
|
Das Ashok <1953->
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||