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

Pubbl/distr/stampa	River Edge, NJ, : World Scientific, c2003
Descrizione fisica	1 online resource (449 p.)
Disciplina	530.14/3 530.143 539.7
Altri autori (Persone)	ZichichiAntonino
Collana	The subnuclear series
Soggetto topico	Quantum gravity Gluons Quarks Gauge fields (Physics)
Soggetto genere / forma	Electronic books.
ISBN	1-281-95604-X 9786611956042 981-279-665-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	CONTENTS ; Mini-Courses on Basics ; Lattice Field Theory and SU(N) Gauge Theories ; 1 Introduction ; 2 Lattice calculations ; 3 The physics of SU(N) gauge theories ; 4 Some final remarks ; References ; CHAIRMAN: M. TEPER ; Symmetries and Quasi-Particles in Hot QCD ; 1 Introduction 2 Qualitative picture of the transition 3 Global symmetries order parameters and the phase transition in QCD ; 4 Canonical Z(N) symmetries in SU(N) gauge theory ; 5 Forces and screening in the plasma ; 6 A quantitative method: perturbation theory and dimensional reduction 7 Dimensional reduction at work 8 Flux of quasi-particles as seen by spatial Wilson and 't Hooft loops ; 9 Epilogue ; 10 Suggestions for further reading ; References ; CHAIRMAN: C.P. KORTHALS ALTES ; Physics of QCD Instantons ; 1 Introduction ; 2 Instantons and chiral symmetries 3 What instantons can do: a brief summary 4 Two-point correlation functions: T decays ; 5 Three-point correlators: the pion form-factor ; 6 Instantons at large Nc ; 7 The RHIC puzzles ; 8 Quantum mechanics of the glue in vacuum and high energy collisions ; 9 Acknowledgments CHAIRMAN: E. SHURYAK Confinement and Duality ; 1 Confinement: an overview ; 2 Confinement of Magnetic Flux ; 3 Duality Sources and Fluxes ; 4 Duality and Confinement ; References ; CHAIRMAN: M. STRASSLER Probing Grand Unification Through Neutrino Oscillations Leptogenesis and Proton Decay
Record Nr.	UNINA-9910454083903321

Edizione	[1st ed.]
Pubbl/distr/stampa	River Edge, NJ, : World Scientific, c2003
Descrizione fisica	1 online resource (449 p.)
Disciplina	530.14/3 530.143 539.7
Altri autori (Persone)	ZichichiAntonino
Collana	The subnuclear series
Soggetto topico	Quantum gravity Gluons Quarks Gauge fields (Physics)
ISBN	1-281-95604-X 9786611956042 981-279-665-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	CONTENTS ; Mini-Courses on Basics ; Lattice Field Theory and SU(N) Gauge Theories ; 1 Introduction ; 2 Lattice calculations ; 3 The physics of SU(N) gauge theories ; 4 Some final remarks ; References ; CHAIRMAN: M. TEPER ; Symmetries and Quasi-Particles in Hot QCD ; 1 Introduction 2 Qualitative picture of the transition 3 Global symmetries order parameters and the phase transition in QCD ; 4 Canonical Z(N) symmetries in SU(N) gauge theory ; 5 Forces and screening in the plasma ; 6 A quantitative method: perturbation theory and dimensional reduction 7 Dimensional reduction at work 8 Flux of quasi-particles as seen by spatial Wilson and 't Hooft loops ; 9 Epilogue ; 10 Suggestions for further reading ; References ; CHAIRMAN: C.P. KORTHALS ALTES ; Physics of QCD Instantons ; 1 Introduction ; 2 Instantons and chiral symmetries 3 What instantons can do: a brief summary 4 Two-point correlation functions: T decays ; 5 Three-point correlators: the pion form-factor ; 6 Instantons at large Nc ; 7 The RHIC puzzles ; 8 Quantum mechanics of the glue in vacuum and high energy collisions ; 9 Acknowledgments CHAIRMAN: E. SHURYAK Confinement and Duality ; 1 Confinement: an overview ; 2 Confinement of Magnetic Flux ; 3 Duality Sources and Fluxes ; 4 Duality and Confinement ; References ; CHAIRMAN: M. STRASSLER Probing Grand Unification Through Neutrino Oscillations Leptogenesis and Proton Decay
Record Nr.	UNINA-9910809294003321

Autore	Bartels Arthur <1971->
Pubbl/distr/stampa	Providence, RI : , : American Mathematical Society, , [2019]
Descrizione fisica	1 online resource (114 pages)
Disciplina	530.14/3
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Topological fields Generalized spaces Topology
Soggetto genere / forma	Electronic books.
ISBN	1-4704-5065-8
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNINA-9910480292603321

Autore	Speer Eugene R.
Pubbl/distr/stampa	Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica	1 online resource (233 pages)
Disciplina	530.14/3
Collana	Annals of Mathematics Studies
Soggetto topico	Mathematical physics Quantum field theory
Soggetto non controllato	Addition Adjoint Amplitude Analytic continuation Analytic function Antiparticle C-number Calculation Change of variables Classical electromagnetism Coefficient Commutative property Compact space Complex analysis Complex number Connectivity (graph theory) Constant term Convolution Derivative Diagram (category theory) Differentiable function Distribution (mathematics) Equation Estimation Explicit formulae (L-function) Fermion Fock space Formal power series Fourier transform Free field Gauge theory Graph theory Hilbert space Incidence matrix Interaction picture Invertible matrix Irreducibility (mathematics) Isolated singularity Lagrangian (field theory) Laurent series Mathematical induction Mathematics Momentum Monomial Multiple integral National Science Foundation Notation Parameter Path integral formulation Permutation Polynomial Power series Probability Propagator Quadratic form Quantity Quantum field theory Remainder Renormalization Requirement S-matrix Scattering amplitude Scientific notation Second quantization Several complex variables Simple extension Special case Subset Subtraction Suggestion Summation Taylor series Tensor product Theorem Theory Topological space Translational symmetry Tree (data structure) Uniform convergence Vacuum expectation value Vacuum state Vacuum Variable (mathematics) Vector field Vector potential Wick's theorem Z0
ISBN	1-4008-8186-2
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY
Record Nr.	UNINA-9910154752403321