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Mathematical Feynman path integrals and their applications [[electronic resource] /] / Sonia Mazzucchi
| Mathematical Feynman path integrals and their applications [[electronic resource] /] / Sonia Mazzucchi |
| Autore | Mazzucchi Sonia |
| Pubbl/distr/stampa | New Jersey ; ; Hong Kong, : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (225 p.) |
| Disciplina |
519
530.12 |
| Soggetto topico |
Feynman integrals
Feynman diagrams |
| ISBN |
1-282-44302-X
9786612443022 981-283-691-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; 1. Introduction; 2. Infinite Dimensional Oscillatory Integrals; 3. Feynman Path Integrals and the Schr odinger Equation; 4. The Stationary Phase Method and the Semiclassical Limit of Quantum Mechanics; 5. Open Quantum Systems; 6. Alternative Approaches to Feynman Path Integration; Appendix A Abstract Wiener Spaces; Bibliography; Index |
| Record Nr. | UNINA-9910824473203321 |
Mazzucchi Sonia
|
||
| New Jersey ; ; Hong Kong, : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modern functional quantum field theory : summing Feynman graphs / / Herbert M. Fried
| Modern functional quantum field theory : summing Feynman graphs / / Herbert M. Fried |
| Autore | Fried Herbert M |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (281 p.) |
| Disciplina | 281 |
| Soggetto topico |
Quantum field theory
Feynman diagrams |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4415-89-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Basic Preliminaries; 1. Quantum Field Theory - Why and How; 1.1 Schwinger's Action Principle; 1.2 Free-Field Kinematics; 2. Functional Preliminaries; 2.1 Functional Differentiation; 2.2 Linear Translation; 2.3 Quadratic (Gaussian) Translation; 2.4 Functional Integration; 2.5 Cluster Decomposition; 2.6 Two Useful Relations; 3. Functional Field Theory; 3.1 The Generating Functional; 3.2 A Gauge Digression: SU(N)-QCD; 3.3 Coupled Fermion and Boson Fields; 3.4 Fields at the Same Point; 4. The Generating Functional and the S-Matrix; 4.1 The Generating Functional Operator
4.2 Asymptotic Conditions4.3 The S-Matrix; 4.4 A Bremsstrahlung Example; 5. Schwinger/Fradkin Representations; 5.1 Formalism; 5.2 Gauge Structure; 5.3 The Bloch-Nordsieck - IR - Eikonal Approximation; 5.4 A Convenient Reformulation; Quantum Electrodynamics; Quantum Electrodynamics; 6. Radiative Corrections of the Photon Propagator; 6.1 Functional Approach to the Photon Propagator; 6.2 Higher-order Radiative Correction; 6.3 The DP Model for a Single Closed Fermion Loop; 6.4 The Extended DP Model, and the Finiteness of Z3; 6.5 Summary; 7. Radiative Corrections to the Electron Propagator 7.1 Introduction7.2 Formulation; 7.3 Computation; 7.4 Summary; 8. A QED Symmetry-Breaking Model of Vacuum Energy; 8.1 Introduction; 8.2 Formulation; 8.3 Approximation; 8.4 Computation; 8.5 Application to Dark Energy; 8.6 Partial Summary; Quantum Chromodynamics; Quantum Chromodynamics; 9. Explicit, Non-Perturbative Gauge Invariance; 9.1 From QED to QCD; 9.2 Gluon Summations and Explicit Gauge Invariance; 9.3 Effective Locality; 10. QCD Transverse Fluctuations; 10.1 Introduction; 10.2 A Phenomenological Expression of Transverse Imprecision; 10.3 Bundle Diagrams; 11. Quark Binding Potential 11.1 Use of the Eikonal Approximation11.2 Estimation of the "Model Pion" Mass; 12. Nucleon Scattering and Binding; 12.1 Introduction; 12.2 Formulation; 12.3 A Qualitative Binding Potential; 12.4 Binding Estimations; 12.5 Summary and Speculation; Astrophysical Speculations; Astrophysical Speculations; 13. Inflation as the Precursor of Dark Energy; 13.1 Introduction; 13.2 Computation; 13.3 A Cosmological Speculation; 13.4 Summary; 14. Quantum Tachyon Dynamics; 14.1 Introduction; 14.2 QTD as a QFT; 14.3 Functional QTD; 14.4 Photon Emission and Reabsorption 14.5 Kinematic of Tachyon-Particle Reactions14.5.1 Blocking the reaction T + T; 14.5.2 Scattering: T + p = T' + p'; 14.6 From Ehrenfest's Theorem to Loop Annihilation; 14.7 NASA's Fermi Bubbles; 14.8 Summary; Acknowledgment; Appendix A Equivalence Example of the DP Model; Appendix B Intuitive Justification of the DP Model; Appendix C Connected Cluster-Expansion Functionals; Appendix D Fradkin's Representations for non-Abelian Gc[A] and L[A]; Appendix E Effective Locality and Transverse Imprecision; Appendix F Tachyonic Photon Emission; Appendix G Relativistic Tachyon Notation G.1 Free Tachyon Equation |
| Record Nr. | UNINA-9910453633003321 |
|
Fried Herbert M
|
||
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modern functional quantum field theory : summing Feynman graphs / / Herbert M. Fried, Brown University, USA
| Modern functional quantum field theory : summing Feynman graphs / / Herbert M. Fried, Brown University, USA |
| Autore | Fried Herbert M |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xiv, 266 pages) : illustrations |
| Disciplina | 281 |
| Collana | Gale eBooks |
| Soggetto topico |
Quantum field theory
Feynman diagrams |
| ISBN | 981-4415-89-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Basic Preliminaries; 1. Quantum Field Theory - Why and How; 1.1 Schwinger's Action Principle; 1.2 Free-Field Kinematics; 2. Functional Preliminaries; 2.1 Functional Differentiation; 2.2 Linear Translation; 2.3 Quadratic (Gaussian) Translation; 2.4 Functional Integration; 2.5 Cluster Decomposition; 2.6 Two Useful Relations; 3. Functional Field Theory; 3.1 The Generating Functional; 3.2 A Gauge Digression: SU(N)-QCD; 3.3 Coupled Fermion and Boson Fields; 3.4 Fields at the Same Point; 4. The Generating Functional and the S-Matrix; 4.1 The Generating Functional Operator
4.2 Asymptotic Conditions4.3 The S-Matrix; 4.4 A Bremsstrahlung Example; 5. Schwinger/Fradkin Representations; 5.1 Formalism; 5.2 Gauge Structure; 5.3 The Bloch-Nordsieck - IR - Eikonal Approximation; 5.4 A Convenient Reformulation; Quantum Electrodynamics; Quantum Electrodynamics; 6. Radiative Corrections of the Photon Propagator; 6.1 Functional Approach to the Photon Propagator; 6.2 Higher-order Radiative Correction; 6.3 The DP Model for a Single Closed Fermion Loop; 6.4 The Extended DP Model, and the Finiteness of Z3; 6.5 Summary; 7. Radiative Corrections to the Electron Propagator 7.1 Introduction7.2 Formulation; 7.3 Computation; 7.4 Summary; 8. A QED Symmetry-Breaking Model of Vacuum Energy; 8.1 Introduction; 8.2 Formulation; 8.3 Approximation; 8.4 Computation; 8.5 Application to Dark Energy; 8.6 Partial Summary; Quantum Chromodynamics; Quantum Chromodynamics; 9. Explicit, Non-Perturbative Gauge Invariance; 9.1 From QED to QCD; 9.2 Gluon Summations and Explicit Gauge Invariance; 9.3 Effective Locality; 10. QCD Transverse Fluctuations; 10.1 Introduction; 10.2 A Phenomenological Expression of Transverse Imprecision; 10.3 Bundle Diagrams; 11. Quark Binding Potential 11.1 Use of the Eikonal Approximation11.2 Estimation of the "Model Pion" Mass; 12. Nucleon Scattering and Binding; 12.1 Introduction; 12.2 Formulation; 12.3 A Qualitative Binding Potential; 12.4 Binding Estimations; 12.5 Summary and Speculation; Astrophysical Speculations; Astrophysical Speculations; 13. Inflation as the Precursor of Dark Energy; 13.1 Introduction; 13.2 Computation; 13.3 A Cosmological Speculation; 13.4 Summary; 14. Quantum Tachyon Dynamics; 14.1 Introduction; 14.2 QTD as a QFT; 14.3 Functional QTD; 14.4 Photon Emission and Reabsorption 14.5 Kinematic of Tachyon-Particle Reactions14.5.1 Blocking the reaction T + T; 14.5.2 Scattering: T + p = T' + p'; 14.6 From Ehrenfest's Theorem to Loop Annihilation; 14.7 NASA's Fermi Bubbles; 14.8 Summary; Acknowledgment; Appendix A Equivalence Example of the DP Model; Appendix B Intuitive Justification of the DP Model; Appendix C Connected Cluster-Expansion Functionals; Appendix D Fradkin's Representations for non-Abelian Gc[A] and L[A]; Appendix E Effective Locality and Transverse Imprecision; Appendix F Tachyonic Photon Emission; Appendix G Relativistic Tachyon Notation G.1 Free Tachyon Equation |
| Record Nr. | UNINA-9910790972703321 |
|
Fried Herbert M
|
||
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modern functional quantum field theory : summing Feynman graphs / / Herbert M. Fried, Brown University, USA
| Modern functional quantum field theory : summing Feynman graphs / / Herbert M. Fried, Brown University, USA |
| Autore | Fried Herbert M |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xiv, 266 pages) : illustrations |
| Disciplina | 281 |
| Collana | Gale eBooks |
| Soggetto topico |
Quantum field theory
Feynman diagrams |
| ISBN | 981-4415-89-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Basic Preliminaries; 1. Quantum Field Theory - Why and How; 1.1 Schwinger's Action Principle; 1.2 Free-Field Kinematics; 2. Functional Preliminaries; 2.1 Functional Differentiation; 2.2 Linear Translation; 2.3 Quadratic (Gaussian) Translation; 2.4 Functional Integration; 2.5 Cluster Decomposition; 2.6 Two Useful Relations; 3. Functional Field Theory; 3.1 The Generating Functional; 3.2 A Gauge Digression: SU(N)-QCD; 3.3 Coupled Fermion and Boson Fields; 3.4 Fields at the Same Point; 4. The Generating Functional and the S-Matrix; 4.1 The Generating Functional Operator
4.2 Asymptotic Conditions4.3 The S-Matrix; 4.4 A Bremsstrahlung Example; 5. Schwinger/Fradkin Representations; 5.1 Formalism; 5.2 Gauge Structure; 5.3 The Bloch-Nordsieck - IR - Eikonal Approximation; 5.4 A Convenient Reformulation; Quantum Electrodynamics; Quantum Electrodynamics; 6. Radiative Corrections of the Photon Propagator; 6.1 Functional Approach to the Photon Propagator; 6.2 Higher-order Radiative Correction; 6.3 The DP Model for a Single Closed Fermion Loop; 6.4 The Extended DP Model, and the Finiteness of Z3; 6.5 Summary; 7. Radiative Corrections to the Electron Propagator 7.1 Introduction7.2 Formulation; 7.3 Computation; 7.4 Summary; 8. A QED Symmetry-Breaking Model of Vacuum Energy; 8.1 Introduction; 8.2 Formulation; 8.3 Approximation; 8.4 Computation; 8.5 Application to Dark Energy; 8.6 Partial Summary; Quantum Chromodynamics; Quantum Chromodynamics; 9. Explicit, Non-Perturbative Gauge Invariance; 9.1 From QED to QCD; 9.2 Gluon Summations and Explicit Gauge Invariance; 9.3 Effective Locality; 10. QCD Transverse Fluctuations; 10.1 Introduction; 10.2 A Phenomenological Expression of Transverse Imprecision; 10.3 Bundle Diagrams; 11. Quark Binding Potential 11.1 Use of the Eikonal Approximation11.2 Estimation of the "Model Pion" Mass; 12. Nucleon Scattering and Binding; 12.1 Introduction; 12.2 Formulation; 12.3 A Qualitative Binding Potential; 12.4 Binding Estimations; 12.5 Summary and Speculation; Astrophysical Speculations; Astrophysical Speculations; 13. Inflation as the Precursor of Dark Energy; 13.1 Introduction; 13.2 Computation; 13.3 A Cosmological Speculation; 13.4 Summary; 14. Quantum Tachyon Dynamics; 14.1 Introduction; 14.2 QTD as a QFT; 14.3 Functional QTD; 14.4 Photon Emission and Reabsorption 14.5 Kinematic of Tachyon-Particle Reactions14.5.1 Blocking the reaction T + T; 14.5.2 Scattering: T + p = T' + p'; 14.6 From Ehrenfest's Theorem to Loop Annihilation; 14.7 NASA's Fermi Bubbles; 14.8 Summary; Acknowledgment; Appendix A Equivalence Example of the DP Model; Appendix B Intuitive Justification of the DP Model; Appendix C Connected Cluster-Expansion Functionals; Appendix D Fradkin's Representations for non-Abelian Gc[A] and L[A]; Appendix E Effective Locality and Transverse Imprecision; Appendix F Tachyonic Photon Emission; Appendix G Relativistic Tachyon Notation G.1 Free Tachyon Equation |
| Record Nr. | UNINA-9910807349703321 |
|
Fried Herbert M
|
||
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rearranging Dyson-Schwinger equations / / Karen Yeats
| Rearranging Dyson-Schwinger equations / / Karen Yeats |
| Autore | Yeats Karen <1980-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 530.15/1539 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Feynman diagrams
Quantum field theory - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0612-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Foreword""; ""Preface""; ""Chapter 1. Introduction""; ""Chapter 2. Background""; ""2.1. Series""; ""2.2. Feynman graphs as combinatorial objects""; ""2.3. Feynman graphs as physical objects""; ""Chapter 3. Dyson-Schwinger equations""; ""3.1. B+""; ""3.2. Dyson-Schwinger equations""; ""3.3. Setup""; ""Chapter 4. The first recursion""; ""4.1. From the renormalization group equation""; ""4.2. From SY""; ""4.3. Properties""; ""Chapter 5. Reduction to one insertion place""; ""5.1. Colored insertion trees""; ""5.2. Dyson-Schwinger equations with one insertion place""
""Chapter 6. Reduction to geometric series""""6.1. Single equations""; ""6.2. Systems""; ""Chapter 7. The second recursion""; ""7.1. Single equations""; ""7.2. Systems""; ""7.3. Variants""; ""Chapter 8. The radius of convergence""; ""8.1. Single equations""; ""8.2. Systems""; ""8.3. Possibly negative systems""; ""Chapter 9. The second recursion as a differential equation""; ""9.1. P(x)=x""; ""9.2. QED as a single equation""; ""9.3. Results on global solutions""; ""9.4. The running coupling""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910481023103321 |
|
Yeats Karen <1980->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rearranging Dyson-Schwinger equations / / Karen Yeats
| Rearranging Dyson-Schwinger equations / / Karen Yeats |
| Autore | Yeats Karen <1980-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 530.15/1539 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Feynman diagrams
Quantum field theory - Mathematics |
| ISBN | 1-4704-0612-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Foreword""; ""Preface""; ""Chapter 1. Introduction""; ""Chapter 2. Background""; ""2.1. Series""; ""2.2. Feynman graphs as combinatorial objects""; ""2.3. Feynman graphs as physical objects""; ""Chapter 3. Dyson-Schwinger equations""; ""3.1. B+""; ""3.2. Dyson-Schwinger equations""; ""3.3. Setup""; ""Chapter 4. The first recursion""; ""4.1. From the renormalization group equation""; ""4.2. From SY""; ""4.3. Properties""; ""Chapter 5. Reduction to one insertion place""; ""5.1. Colored insertion trees""; ""5.2. Dyson-Schwinger equations with one insertion place""
""Chapter 6. Reduction to geometric series""""6.1. Single equations""; ""6.2. Systems""; ""Chapter 7. The second recursion""; ""7.1. Single equations""; ""7.2. Systems""; ""7.3. Variants""; ""Chapter 8. The radius of convergence""; ""8.1. Single equations""; ""8.2. Systems""; ""8.3. Possibly negative systems""; ""Chapter 9. The second recursion as a differential equation""; ""9.1. P(x)=x""; ""9.2. QED as a single equation""; ""9.3. Results on global solutions""; ""9.4. The running coupling""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910788865903321 |
|
Yeats Karen <1980->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rearranging Dyson-Schwinger equations / / Karen Yeats
| Rearranging Dyson-Schwinger equations / / Karen Yeats |
| Autore | Yeats Karen <1980-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 530.15/1539 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Feynman diagrams
Quantum field theory - Mathematics |
| ISBN | 1-4704-0612-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Foreword""; ""Preface""; ""Chapter 1. Introduction""; ""Chapter 2. Background""; ""2.1. Series""; ""2.2. Feynman graphs as combinatorial objects""; ""2.3. Feynman graphs as physical objects""; ""Chapter 3. Dyson-Schwinger equations""; ""3.1. B+""; ""3.2. Dyson-Schwinger equations""; ""3.3. Setup""; ""Chapter 4. The first recursion""; ""4.1. From the renormalization group equation""; ""4.2. From SY""; ""4.3. Properties""; ""Chapter 5. Reduction to one insertion place""; ""5.1. Colored insertion trees""; ""5.2. Dyson-Schwinger equations with one insertion place""
""Chapter 6. Reduction to geometric series""""6.1. Single equations""; ""6.2. Systems""; ""Chapter 7. The second recursion""; ""7.1. Single equations""; ""7.2. Systems""; ""7.3. Variants""; ""Chapter 8. The radius of convergence""; ""8.1. Single equations""; ""8.2. Systems""; ""8.3. Possibly negative systems""; ""Chapter 9. The second recursion as a differential equation""; ""9.1. P(x)=x""; ""9.2. QED as a single equation""; ""9.3. Results on global solutions""; ""9.4. The running coupling""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910828111703321 |
|
Yeats Karen <1980->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
