Perturbation Theory in Covariant Canonical Quantization PDF Download
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Author: Sayandeb Basu
Publisher:
ISBN:
Category :
Languages : en
Pages : 138
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Book Description
Author: Sayandeb Basu
Publisher:
ISBN:
Category :
Languages : en
Pages : 138
Get Book Here
Book Description
Author: Sylvio Ferraz-Mello
Publisher: Springer Science & Business Media
ISBN: 0387389059
Category : Science
Languages : en
Pages : 350
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Book Description
The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.
Author: A. Bassetto
Publisher: World Scientific
ISBN: 9789810205782
Category : Science
Languages : en
Pages : 254
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Book Description
This volume deals with canonical quantization, Feynman rules and renormalization of Yang-Mills theories in algebraic non-covariant gauges (typically axial and light-cone gauges). The material is self-contained and presented in a basic manner according to a personal style representative of a long lasting activity in the field. Emphasis is always placed on the underlying basic concepts of Quantum Field Theory, even when particular examples are treated, details and the related difficulties are thoroughly discussed. The value of the book goes beyond the specificity of its subject.
Author: Poul Henrik Damgaard
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789971502980
Category : Science
Languages : en
Pages : 496
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Book Description
Introductory chapters. 1. Introduction -- 2. Stochastic quantization of field theories -- 3. A guide to the reprinted papers -- Reprinted papers. The classic. R1. Perturbation theory without gauge fixing / G. Parisi and Wu Yongshi -- Perturbation theory. R2. Equivalence of stochastic and canonical quantization in perturbation theory / E.G. Floratos and J. Iliopoulos -- R3. Perturbation theory from stochastic quantization of scalar fields / W. Grimus and H. Hüffel -- R4. Stochastic diagrams and Feynman diagrams / H. Hüffel and P.V. Landshoff -- Gauge fields. R5. Covariant quantization of gauge fields without Gribov ambiguity / D. Zwanziger -- R6. Equivalence of stochastic quantization and the Faddeev-Popov ansatz / L. Baulieu and D. Zwanziger -- R7. Stochastic quantization of non-Abelian gauge field / M. Namiki [und weitere] -- R8. A covariant ghost-free perturbation expansion for Yang-Mills theories / E.G. Floratos, J. Iliopoulos and D. Zwanziger -- Fermions. R9. Stochastic quantization method of fermionfields / T. Fukai [und weitere] -- R10. Stochastic quantization with fermions / P.H. Damgaard and K. Tsokos -- Gravity. R11. Stochastic quantization of Einstein gravity / H. Rumpf -- Supersymmetry. R12. Random magnetic fields, supersymmetry and negative dimensions / G. Parisi and N. Sourlas -- R13. Stochastic and parastochastic aspects of supersymmetric functional measures: a new nonperturbative approach to supersymmetry / S. Cecotti and L. Girardello -- R14. Functional integral approach to Parisi-Wu stochastic quantization: Scalar theory / E. Gozzi -- R15. A superfield formulation of stochastic quantization with fictitious time / E. Egorian and S. Kalitzin -- R16. Stochastic quantization, supersymmetry and the Nicolai map / P.H. Damgaard and K. Tsokos -- R17. Quantization by stochastic relaxation processes and supersymmetry / R. Kirschner -- Canonical stochastic quantization. R18. Canonical stochastic quantization / S. Ryang, T. Saito and K. Shigemoto -- R19. Stochastic quantization in phase space / A.M. Horowitz -- Stochastic regularization. R20. Stochastic quantization and regularization / J.D. Breit, S. Gupta and A. Zaks -- R21. Stochastic regularization of scalar electrodynamics / Z. Bern -- R22. Evaluation of critical exponents on the basis of stochastic quantization / J. Alfaro, R. Jengo and N. Parga -- R23. Continuum regularization of QCD / Z. Bern [und weitere] -- A Rigorous construction. R24. On the stochastic quantization of field theory / G. Jona-Lasinio and P.K. Mitter -- Large-N limit. R25. Quenched master fields / J. Greensite and M.B. Halpern -- R26. Derivation of quenched momentum prescription by means of stochastic quantization / J. Alfaro and B. Sakita -- Complex actions. R27. On complex probabilities / G. Parisi -- R28. Spectrum of certain non-self-adjoint operators and solutions of Langevin equations with complex drift / J.R. Klauder and W.P. Petersen -- R29. Numerical problems in applying the Langevin equation to complex effective actions / J. Ambjorn and S.-K. Yang -- R30. Complex Langevin simulation of the SU(3) spin model with non-zero chemical potential / F. Karsch and H.W. Wyld -- Minkowski space. R31. Stochastic quantization in Minkowski space / H. Hüffel and H. Rumpf -- R32. Langevin simulation in Minkowski space? / E. Gozzi -- Numerical applications. R33. Correlation functions and computer simulations / G. Parisi -- R34. Considerations on numerical analysis of QCD / H.W. Hamber [und weitere] -- R35. Glueball-mass estimates in lattice QCD / H.W. Hamber and U.M. Heller -- R36. Numerical evidence for a barrier at the Gribov horizon / E. Seiler, I.O. Stamatescu and D. Zwanziger -- R37. Langevin simulation including dynamical quark loops / A. Ukawa and M. Fukugita -- R38. Langevin simulations of lattice field theories / G.G. Batrouni [und weitere]
Author: Franz Mandl
Publisher: Wiley-Blackwell
ISBN:
Category : Science
Languages : en
Pages : 378
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Book Description
Quantum Field Theory Revised Edition F. Mandl and G. Shaw, Department of Theoretical Physics, The Schuster Laboratory, The University, Manchester, UK When this book first appeared in 1984, only a handful of W?? and Z? bosons had been observed and the experimental investigation of high energy electro-weak interactions was in its infancy. Nowadays, W?? bosons and especially Z? bosons can be produced by the thousand and the study of their properties is a precise science. We have revised the text of the later chapters to incorporate these developments and discuss their implications. We have also taken this opportunity to update the references throughout and to make some improvements in the treatment of dimen-sional regularization. Finally, we have corrected some minor errors and are grateful to various people for pointing these out. This book is designed as a short and simple introduction to quantum field theory for students beginning research in theoretical and experimental physics. The three main objectives are to explain the basic physics and formalism of quantum field theory, to make the reader fully proficient in theory calculations using Feynman diagrams, and to introduce the reader to gauge theories, which play such a central role in elementary particle physics. The theory is applied to quantum electrodynamics (QED), where quantum field theory had its early triumphs, and to weak interactions where the standard electro-weak theory has had many impressive successes. The treatment is based on the canonical quantization method, because readers will be familiar with this, because it brings out lucidly the connection between invariance and conservation laws, and because it leads directly to the Feynman diagram techniques which are so important in many branches of physics. In order to help inexperienced research students grasp the meaning of the theory and learn to handle it confidently, the mathematical formalism is developed from first principles, its physical interpretation is stressed at every point and its use is illustrated in detailed applications. After studying this book, the reader should be able to calculate any process in lowest order of perturbation theory for both QED and the standard electro-weak theory, and in addition, calculate lowest order radiative corrections in QED using the powerful technique of dimensional regularization. Contents: Preface; 1 Photons and electromagnetic field; 2 Lagrangian field theory; 3 The Klein--Gordon field; 4 The Dirac field; 5 Photons: covariant theory; 6 The S-matrix expansion; 7 Feynman diagrams and rules in QED; 8 QED processes in lowest order; 9 Radiative corrections; 10 Regularization; 11 Weak interactions; 13 Spontaneous symmetry breaking; 14 The standard electro-weak theory; Appendix A The Dirac equation; Appendix B Feynman rules and formulae for perturbation theory; Index.
Author: S D Glazek
Publisher: World Scientific
ISBN: 9814549568
Category :
Languages : en
Pages : 338
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Book Description
This volume includes 45 talks and reports from facilitated discussions by outstanding contributors to the theory of hadrons that cover the entire spectrum of computational strategies being developed to solve QCD.A new computational strategy for solving light-front QCD, a strategy which starts with a constituent quark model that can be solved using the weak-coupling methods of QED, is extensively reviewed.
Author: Stefan Teufel
Publisher: Springer Science & Business Media
ISBN: 9783540407232
Category : Perturbation (Quantum dynamics)
Languages : en
Pages : 248
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Book Description
Author: L. D. Faddeev
Publisher: World Scientific
ISBN: 9789810221997
Category : Science
Languages : en
Pages : 492
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Book Description
This is a collection of Prof L D Faddeev's important lectures, papers and talks. Some of these have not been published before and some have, for the first time, been translated from Russian into English. The topics covered correspond to several distinctive and pioneering contributions of Prof Faddeev to modern mathematical physics: quantization of Yang?Mills and Einstein gravitational fields, soliton theory, the many-dimensional inverse problem in potential scattering, the Hamiltonian approach to anomalies, and the theory of quantum integrable models. There are also two papers on more general aspects of the interrelations between physics and mathematics as well as an autobiographical essay.
Author: Heimo Latal
Publisher: Springer
ISBN: 3540451145
Category : Science
Languages : en
Pages : 235
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Book Description
Most of our present understanding of the elementary building blocks of matter and the forces between them is based on the quantized version of the field theories which are locally symmetric under gauge transformations. The present set of lecture notes gives both a status report and a survey of recent advances for the most important quantization methods in the field theories for elementary particle physics. The first part of the book introduces light-cone quantization as an interesting alternative to the commonly used covariant perturbation theory and functional-integral methods. Next, a general formalism for quantizing systems with constraints, the projection-operator approach, is presented and structural aspects of the renormalization problem for gauge invariant field theories are discussed. Finally, the mathematics underlying the functional-integral quantization is reviewed. Suitable as a reference for researchers in the field, the book will prove particularly useful for lecturers and graduate students in search of additional reading beyond the standard texts on quantum field theory.
Author: J.C. Le Guillou
Publisher: Elsevier
ISBN: 0444596208
Category : Mathematics
Languages : en
Pages : 595
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Book Description
This volume is concerned with the determination of the behaviour of perturbation theory at large orders in quantum mechanics and quantum field theory, and its application to the problem of summation of perturbation series. Perturbation series in quantum field theory and in many quantum mechanics models are only asymptotic and thus diverge for all values of the expansion parameter. Their behaviour at large orders provides information about whether they define the theory uniquely (the problem of Borel summability). It suggests methods to extract numerical information from the series when the expansion parameter is not small. The articles reprinted here deal with the explicit evaluation of large-order behaviour in many quantum mechanics and field theory models. The large-order behaviour is related to barrier penetration effects for unphysical values of the expansion parameter, which can be calculated by WKB or instanton methods. The calculation of critical exponents of &fgr;4 field theory is presented as a practical application.
