Quantum Field Theory Ii
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Quantum Field Theory Ii
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Author : Misha Shifman
language : en
Publisher: World Scientific
Release Date : 2019-03-12
Quantum Field Theory Ii written by Misha Shifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-12 with Science categories.
This textbook grew out of lecture notes the author used in delivering a quantum field theory (QFT) course for students (both in high energy physics and condensed matter) who already had an initial exposure to the subject.It begins with the path integral method of quantization presented in a systematic and clear-cut manner. Perturbation theory is generalized beyond tree level, to include radiative corrections (loops). Renormalization procedures and the Wilsonian renormalization group (RG flow) are discussed, asymptotic freedom of non-Abelian gauge theories is derived, and some applications in Quantum Chromodynamics (QCD) are considered, with a brief digression into the Standard Model (SM). The SM case requires a study of the spontaneous breaking of gauge symmetry, a phenomenon which would be more appropriate to call 'Higgsing of the gauge bosons.' Other regimes attainable in gauge theories are explained as well. In the condensed matter part, the Heisenberg and Ising model are discussed. The present textbook differs from many others in that it is relatively concise and, at the same time, teaches students to carry out actual calculations which they may encounter in QFT-related applications.
Constructive Quantum Field Theory Ii
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Author : G. Velo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Constructive Quantum Field Theory Ii written by G. Velo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The seventh Ettore Majorana International School of Mathematical Physics was :Jeld at the Centro della Cultura Scientifica Erice. Sicily, 1-15 July 1988. The present volume collects lecture notes on the session which was entitled Con8tructive Quantum Field Theory lI. The II refers to the fact that the first such school in 1973 was devoted ,0 the same subject. The school was a NATO Advanced Study Institute sponsored Jy the Italian Ministry of Scientific and Technological Research and the Regional 3icilian Government. At the time of the 1973 Erice School on Constructive Field Theory, the speakers :ould summarize a decade of effort on the solution of superrenormalizable models in two dimensional space-time leading to the verification of the axioms of relativistic :J. uantum field theory for these examples. The resulting lecture notes have proved ,0 be exceptionally useful and are still in print. In the decade and a half that have ~lapsed since that time, there has been much hard work with the ultimate objective of providing a rigorous mathematical foundation for the quantum field theories in four iimensional space-time that summarize a large fraction of our current understanding )f elementary particle physics: QCD and the electroweak theory. The lecture notes )f the 1988 school record the fact that, although this objective has not been reached, Important progress has been made. The ultraviolet stability of Yang-Mills theory In four dimensions has been treated and renormalizable (not superrenormalizable) models in two dimensional space-time, Gross-Neveu models, have been solved.
Quantum Field Theory Ii
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Author : Edouard B. Manoukian
language : en
Publisher: Springer
Release Date : 2016-09-26
Quantum Field Theory Ii written by Edouard B. Manoukian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-26 with Science categories.
This book takes a pedagogical approach to explaining quantum gravity, supersymmetry and string theory in a coherent way. It is aimed at graduate students and researchers in quantum field theory and high-energy physics. The first part of the book introduces quantum gravity, without requiring previous knowledge of general relativity (GR). The necessary geometrical aspects are derived afresh leading to explicit general Lagrangians for gravity, including that of general relativity. The quantum aspect of gravitation, as described by the graviton, is introduced and perturbative quantum GR is discussed. The Schwinger-DeWitt formalism is developed to compute the one-loop contribution to the theory and renormalizability aspects of the perturbative theory are also discussed. This follows by introducing only the very basics of a non-perturbative, background-independent, formulation of quantum gravity, referred to as “loop quantum gravity”, which gives rise to a quantization of space. In the second part the author introduces supersymmetry and its consequences. The generation of superfields is represented in detail. Supersymmetric generalizations of Maxwell’s Theory as well as of Yang-Mills field theory, and of the standard model are worked out. Spontaneous symmetry breaking, improvement of the divergence problem in supersymmetric field theory, and its role in the hierarchy problem are covered. The unification of the fundamental constants in a supersymmetric version of the standard model are then studied. Geometrical aspects necessary to study supergravity are developed culminating in the derivation of its full action. The third part introduces string theory and the analysis of the spectra of the mass (squared) operator associated with the oscillating strings. The properties of the underlying fields, associated with massless particles, encountered in string theory are studied in some detail. Elements of compactification, duality and D-branes are given, as well of the generation of vertices and interactions of strings. In the final sections, the author shows how to recover GR and the Yang-Mills field Theory from string theory.
Quantum Field Theory Ii
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Author : Mikhail A. Shifman
language : en
Publisher:
Release Date : 2019
Quantum Field Theory Ii written by Mikhail A. Shifman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Quantum field theory categories.
"Field Theory II begins with the path integral formulation of quantum field theory. Perturbation theory is generalized beyond tree level, to include radiative corrections (loops). The renormalization procedure and Wilsonean renormalization group are discussed, asymptotic freedom of non-Abelian gauge theories derived, and some applications in Quantum Chromodynamics (QCD) considered, with a brief digression into the Standard Model (SM). Sample higher order corrections are worked out. The SM case requires a study of the spontaneous breaking of the gauge symmetry, a phenomenon which would be more appropriate to call "Higgsing of the gauge bosons""--
The Nature Of The Axioms Of Relativistic Quantum Field Theory Ii
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Author : E. C. G. Sudarshan
language : en
Publisher:
Release Date : 1963
The Nature Of The Axioms Of Relativistic Quantum Field Theory Ii written by E. C. G. Sudarshan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Quantum field theory categories.
Lectures On Quantum Field Theory Second Edition
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Author : Ashok Das
language : en
Publisher: World Scientific
Release Date : 2020-07-24
Lectures On Quantum Field Theory Second Edition written by Ashok Das and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Science categories.
This book comprises the lectures of a two-semester course on quantum field theory, presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis on the representations of the Poincaré group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactions are also developed systematically. Regularization and (BPHZ) renormalization of field theories as well as gauge theories are discussed in detail, leading to a derivation of the renormalization group equation. In addition, two chapters — one on the Dirac quantization of constrained systems and another on discrete symmetries — are included for completeness, although these are not covered in the two-semester course.This second edition includes two new chapters, one on Nielsen identities and the other on basics of global supersymmetry. It also includes two appendices, one on fermions in arbitrary dimensions and the other on gauge invariant potentials and the Fock-Schwinger gauge.
Introduction To Quantum Field Theory
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Author : Shau-Jin Chang
language : en
Publisher: World Scientific
Release Date : 1990
Introduction To Quantum Field Theory written by Shau-Jin Chang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
This book presents in a short volume the basics of quantum field theory and many body physics. The first part introduces the perturbative techniques without sophisticated apparatus and applies them to numerous problems including quantum electrodynamics (renormalization), Fermi and Bose gases, the Brueckner theory of nuclear system, liquid Helium and classical systems with noise. The material is clear, illustrative and the important points are stressed to help the reader get the understanding of what is crucial without overwhelming him with unnecessary detours or comments. The material in the second part ranges from variational principles to path integrals, discusses gauge theory, the renormalization group and classical solutions together with their applications.
Introduction To Quantum Field Theory
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Author : Shau-Jin Chang
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1990
Introduction To Quantum Field Theory written by Shau-Jin Chang and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
Pt. II. Advanced field theory. ch.1. Field quantizations. 1. Action principle. 2. Quantization of a scalar field. 3. Quantization of a Dirac field. 4. Quantization of a vector field -- ch. 2. Lorentz transformation properties. 1. Lorentz invariance. 2. Free scalar and Dirac fields. 3. Stress tensor. 4. Schwinger relation -- ch. 3. Discrete transformatons. 1. Parity. 2. Charge conjugation. 3. Time reversal. 4. TCP theorem. 5. Spin and statistics -- ch. 4. Path integral formulation. 1. Nonrelativistic quantum mechanics. 2. Classical limit. 3. Hamiltonian path integrals. 4. Scalar field theories and Feynman rules. 5. Dyson-Schwinger equation. 6. Grassmann algebra. 7. Fermion system -- ch. 5. Gauge theories. 1. Path integral formulation of Maxwell fields. 2. Quantum electrodynamics. 3. Yang-Mills fields. 4. Path integrals and Feynman rules. 5. Examples -- ch. 6. Renormalization theory. 1. Renormalization of QED - one loop diagrams. 2. Dyson's prescriptions. 3. Overlapping divergences. 4. BPHZ renormalization. 5. Classification of renormalizable theories -- ch. 7. Renormalization of non-abelian gauge theories. 1. Non-abelian gauge theories. 2. Gauge field self-energy diagrams. 3. Other renormalization parts. 4. Slavnov-Taylor identities. 5. Higgs mechanism -- ch. 8. Renormalization group. 1. Intermediate renormalization and its group property. 2. Callan-Symanzik equations. 3. Solutions to Callan-Symanzik equations. 4. An example. 5. Asymptotically free theories -- ch. 9. Instanton. 1. Solutions to a classical Yang-Mills theory. 2. Instanton as a tunneling solution. 3. Tunneling potential and vacuum. 4. Zero modes. 5. Axial anomaly. 6. Decay of a false vacuum
Quantum Field Theory
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Author : Lewis H. Ryder
language : en
Publisher: Cambridge University Press
Release Date : 1996-06-06
Quantum Field Theory written by Lewis H. Ryder and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-06 with Science categories.
This book is a modern introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the author develops the quantum theory of scalar and spinor fields, and then of gauge fields. The emphasis throughout is on functional methods, which have played a large part in modern field theory. The book concludes with a brief survey of "topological" objects in field theory and, new to this edition, a chapter devoted to supersymmetry. Graduate students in particle physics and high energy physics will benefit from this book.
Relativistic Quantum Field Theory Volume 2
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Author : Michael Strickland
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-11-11
Relativistic Quantum Field Theory Volume 2 written by Michael Strickland and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-11 with Science categories.
Volume 2 of this three-part series presents the quantization of classical field theory using the path integral formalism. For this volume the target audience is students who wish to learn about relativistic quantum field theory applied to particle physics, however, it is still very accessible and useful for students of condensed matter. This volume begins with the introduction of the path integral formalism for non-relativistic quantum mechanics and then, using this as a basis, extends the formalism to quantum fields with an infinite number of degrees of freedom. Dr. Strickland then discusses how to quantize gauge fields using the Fadeev-Popov method and fermionic fields using Grassman algebra. He then presents the path integral formulation of quantum chromodynamics and its renormalization. Finally, he discusses the role played by topological solutions in non-abelian gauge theories.