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Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone
| Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone |
| Autore | Simeone Claudio |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina | 523.1 |
| Collana | World scientific lecture notes in physics |
| Soggetto topico |
Quantum gravity
Space and time Path integrals Gauge invariance Hamiltonian systems |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-837-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Introduction ; Chapter 2 The gravitational field as a constrained Hamiltonian system ; 2.1 Momentum and Hamiltonian constraints ; 2.2 Minisuperspaces as constrained systems ; 2.3 Quantization ; 2.3.1 Canonical quantization
2.3.2 Path integral quantization Chapter 3 Deparametrization and path integral quantization ; 3.1 The identification of time ; 3.1.1 Gauge fixation and deparametrization ; 3.1.2 Topology of the constraint surface: intrinsic and extrinsic time 3.2 Gauge-invariant action for a parametrized system 3.2.1 End point terms ; 3.2.2 Observables and time ; 3.2.3 Non separable constraints ; 3.3 Path integral ; 3.3.1 General formalism ; 3.3.2 The function f and the reduced Hamiltonian. Unitarity ; 3.4 Examples 3.4.1 Feynman propagator for the Klein-Gordon equation 3.4.2 The ideal clock ; 3.4.3 Transition probability for empty Friedmann-Robertson-Walker universes ; Chapter 4 Homogeneous relativistic cosmologies ; 4.1 Isotropic universes ; 4.1.1 A toy model ; 4.1.2 True degrees of freedom 4.1.3 A more general constraint 4.1.4 Extrinsic time. The closed ""de Sitter"" universe ; 4.1.5 Comment ; 4.2 Anisotropic universes ; 4.2.1 The Kantowski-Sachs universe ; 4.2.2 The Taub universe ; 4.2.3 Other anisotropic models ; Chapter 5 String cosmologies 5.1 String theory on background fields |
| Record Nr. | UNINA-9910458433803321 |
Simeone Claudio
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone
| Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone |
| Autore | Simeone Claudio |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina | 523.1 |
| Collana | World scientific lecture notes in physics |
| Soggetto topico |
Quantum gravity
Space and time Path integrals Gauge invariance Hamiltonian systems |
| ISBN | 981-277-837-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Introduction ; Chapter 2 The gravitational field as a constrained Hamiltonian system ; 2.1 Momentum and Hamiltonian constraints ; 2.2 Minisuperspaces as constrained systems ; 2.3 Quantization ; 2.3.1 Canonical quantization
2.3.2 Path integral quantization Chapter 3 Deparametrization and path integral quantization ; 3.1 The identification of time ; 3.1.1 Gauge fixation and deparametrization ; 3.1.2 Topology of the constraint surface: intrinsic and extrinsic time 3.2 Gauge-invariant action for a parametrized system 3.2.1 End point terms ; 3.2.2 Observables and time ; 3.2.3 Non separable constraints ; 3.3 Path integral ; 3.3.1 General formalism ; 3.3.2 The function f and the reduced Hamiltonian. Unitarity ; 3.4 Examples 3.4.1 Feynman propagator for the Klein-Gordon equation 3.4.2 The ideal clock ; 3.4.3 Transition probability for empty Friedmann-Robertson-Walker universes ; Chapter 4 Homogeneous relativistic cosmologies ; 4.1 Isotropic universes ; 4.1.1 A toy model ; 4.1.2 True degrees of freedom 4.1.3 A more general constraint 4.1.4 Extrinsic time. The closed ""de Sitter"" universe ; 4.1.5 Comment ; 4.2 Anisotropic universes ; 4.2.1 The Kantowski-Sachs universe ; 4.2.2 The Taub universe ; 4.2.3 Other anisotropic models ; Chapter 5 String cosmologies 5.1 String theory on background fields |
| Record Nr. | UNINA-9910784876203321 |
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Simeone Claudio
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| Singapore ; ; River Edge, NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Field quantization / Walter Greiner, Joachim Reinhardt ; with a foreword by D.A. Bromley
| Field quantization / Walter Greiner, Joachim Reinhardt ; with a foreword by D.A. Bromley |
| Autore | Greiner, Walter |
| Pubbl/distr/stampa | Berlin ; New York : Springer, c1996 |
| Descrizione fisica | xiv, 440 p. : ill. ; 25 cm |
| Disciplina | 530.1/43 |
| Altri autori (Persone) | Reinhardt, Joachimauthor |
| Soggetto topico |
Quantum field theory
Path integrals |
| ISBN | 3540591796 |
| Classificazione |
LC QC174.45
53.3.11 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNISALENTO-991003402049707536 |
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Greiner, Walter
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| Berlin ; New York : Springer, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
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 : a modern primer / Pierre Ramond
| Field theory : a modern primer / Pierre Ramond |
| Autore | Ramond, Pierre |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | New York : Addison-Wesley Publ. Co., 1989 |
| Descrizione fisica | xix, 329 p. : ill. ; 24 cm. |
| Collana | Frontiers in physics / David Pines ; 74 |
| Soggetto topico | Path integrals |
| ISBN | 0201157721 |
| Classificazione |
53.3.11
530.1'43 QC174.45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000945029707536 |
|
Ramond, Pierre
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| New York : Addison-Wesley Publ. Co., 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Handbook of Feynman path integrals / C. Grosche, F. Steiner
| Handbook of Feynman path integrals / C. Grosche, F. Steiner |
| Autore | Grosche, C. |
| Pubbl/distr/stampa | Berlin ; New York : Springer Verlag, c1998 |
| Descrizione fisica | x, 449 p. ; 24 cm. |
| Altri autori (Persone) | Steiner, F. |
| Collana | Springer tracts in modern physics ; 145 |
| Soggetto topico |
Feynman integrals
Path integrals |
| ISBN | 3540571353 |
| Classificazione |
53.1.4
53.3.11 530.12 QC174.17.P27 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000987889707536 |
|
Grosche, C.
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| Berlin ; New York : Springer Verlag, c1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Mathematical theory of Feynman path integrals / / Sergio Albeverio, Raphael Höegh-Krohn
| Mathematical theory of Feynman path integrals / / Sergio Albeverio, Raphael Höegh-Krohn |
| Autore | Albeverio S. A. Sergio |
| Edizione | [1st ed. 1976.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1976] |
| Descrizione fisica | 1 online resource (X, 186 p.) |
| Disciplina | 515.353 |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico |
Differential equations, Partial
Feynman integrals Path integrals |
| ISBN | 3-540-38250-X |
| Classificazione | 81Q30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The fresnel integral of functions on a separable real Hilbert space -- The Feynman path integral in potential scattering -- The fresnel integral relative to a non singular quadratic form -- Feynman path integrals for the anharmonic oscillator -- Expectations with respect to the ground state of the harmonic oscillator -- Expectations with respect to the Gibbs state of the harmonic oscillator -- The invariant quasi-free states -- The Feynman history integrals for the relativistic quantum boson field. |
| Record Nr. | UNISA-996466492503316 |
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Albeverio S. A. Sergio
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| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1976] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho
| Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho |
| Autore | Botelho Luiz C. L |
| Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2009 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.14/3 |
| Soggetto topico |
Path integrals
Integral representations Probabilities |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-60741-908-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY""; ""Contents""; ""About This Monograph (ForewordI)""; ""Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral""; ""1.1. Introduction""; ""1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory""; ""1.3. A Fermionic Loop Space for QCD""; ""1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory""; ""References""; ""Appendix A.""; ""Appendix B.""
""8.1. Introduction"" |
| Record Nr. | UNINA-9910454798403321 |
|
Botelho Luiz C. L
|
||
| Hauppauge, N.Y., : Nova Science Publishers, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho
| Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho |
| Autore | Botelho Luiz C. L |
| Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2009 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.14/3 |
| Soggetto topico |
Path integrals
Integral representations Probabilities |
| ISBN | 1-60741-908-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY""; ""Contents""; ""About This Monograph (ForewordI)""; ""Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral""; ""1.1. Introduction""; ""1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory""; ""1.3. A Fermionic Loop Space for QCD""; ""1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory""; ""References""; ""Appendix A.""; ""Appendix B.""
""8.1. Introduction"" |
| Record Nr. | UNINA-9910778031203321 |
|
Botelho Luiz C. L
|
||
| Hauppauge, N.Y., : Nova Science Publishers, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Path integrals
(23)
- Mathematical physics (7)
- Quantum field theory (7)
- Quantum theory (6)
- Thermodynamics (5)