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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Field theory : a path integral approach / / Ashok Das
Field theory : 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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Lectures on gravitation / / Ashok Das
Lectures on gravitation / / Ashok Das
Autore Das Ashok <1953->
Edizione [1st ed.]
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Lectures on quantum field theory / / Ashok Das
Lectures on quantum field theory / / Ashok Das
Autore Das Ashok <1953->
Edizione [1st ed.]
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
Altri titoli varianti Quantum field theory
Record Nr. UNINA-9910814661003321
Das Ashok <1953->  
Singapore ; ; Hackensack, NJ, : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui