Gauge Field Theories Spin One And Spin Two


Gauge Field Theories Spin One And Spin Two
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Gauge Field Theories Spin One And Spin Two


Gauge Field Theories Spin One And Spin Two
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Author : Gunter Scharf
language : en
Publisher: Courier Dover Publications
Release Date : 2016-07-20

Gauge Field Theories Spin One And Spin Two written by Gunter Scharf and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-20 with Science categories.


One of the main problems of theoretical physics concerns the unification of gravity with quantum theory. This monograph examines unification by means of the appropriate formulation of quantum gauge invariance. Suitable for advanced undergraduates and graduate students of physics, the treatment requires a basic knowledge of quantum mechanics. Opening chapters introduce the free quantum fields and prepare the field for the gauge structure, describing the inductive construction of the time-ordered products by causal perturbation theory. The analysis of causal gauge invariance follows, with considerations of massless and massive spin-1 gauge fields. Succeeding chapters explore the construction of spin-2 gauge theories, concluding with an examination of nongeometric general relativity that offers an innovate approach to gravity and cosmology.



Quantum Gauge Theories


Quantum Gauge Theories
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Author : Günter Scharf
language : en
Publisher: Wiley-VCH
Release Date : 2001-03-30

Quantum Gauge Theories written by Günter Scharf and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-30 with Science categories.


An innovative new treatment of particle physics using quantum gauge theory as its basis If regarded as operator theories, ghost fields play a very important role in quantum gauge theory, which forms the basis of modern particle physics. The author argues that all known forces in nature-electromagnetism, weak and strong forces, and gravity-follow in a unique way from the basic principle of quantum gauge invariance. Using that as a starting point, this volume discusses gauge theories as quantum theories, as part of a streamlined modern approach. The simplicity of using only this one method throughout the book allows the reader a clear understanding of the mathematical structure of nature, while this modern and mathematically well-defined approach elucidates the standard theory of particle physics without overburdening the reader with the full range of various ideas and methods. Though the subject matter requires a basic knowledge of quantum mechanics, the book's unprecedented and uncomplicated coverage will offer readers little difficulty. This revolutionary volume is suitable for graduate students and researchers alike and includes a completely new treatment of gravity as well as important new ideas on massive gauge fields.



Higher Spin Gauge Theories


Higher Spin Gauge Theories
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Author : Brink Lars
language : en
Publisher: World Scientific
Release Date : 2016-11-01

Higher Spin Gauge Theories written by Brink Lars and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-01 with Science categories.


Symmetries play a fundamental role in physics. Non-Abelian gauge symmetries are the symmetries behind theories for massless spin-1 particles, while the reparametrization symmetry is behind Einstein's gravity theory for massless spin-2 particles. In supersymmetric theories these particles can be connected also to massless fermionic particles. Does Nature stop at spin-2 or can there also be massless higher spin theories. In the past strong indications have been given that such theories do not exist. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. With the advent of the AdS/CFT duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics. All these issues were discussed at a recent international workshop in Singapore where the leading scientists in the field participated. This volume presents an up-to-date, detailed overview of the theories including its historic background, as well as the latest accomplishments in understanding the foundational properties of higher spin physics.



Gauge Theories In Particle Physics Volume Ii


Gauge Theories In Particle Physics Volume Ii
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Author : I.J.R. Aitchison
language : en
Publisher: CRC Press
Release Date : 2003-12-01

Gauge Theories In Particle Physics Volume Ii written by I.J.R. Aitchison and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-01 with Science categories.


This is the second volume of the third edition of a successful text, now substantially enlarged and updated to reflect developments over the last decade in the curricula of university courses and in particle physics research. Volume I covered relativistic quantum mechanics, electromagnetism as a gauge theory, and introductory quantum field theory, and ended with the formulation and application of quantum electrodynamics (QED), including renormalization. Building on these foundations, this second volume provides a complete, accessible, and self-contained introduction to the remaining two gauge theories of the standard model of particle physics: quantum chromodynamics (QCD) and the electroweak theory. The treatment significantly extends that of the second edition in several important respects. Simple ideas of group theory are now incorporated into the discussion of non-Abelian symmetries. Two new chapters have been added on QCD, one devoted to the renormalization group and scaling violations in deep inelastic scattering and the other to non-perturbative aspects of QCD using the lattice (path-integral) formulation of quantum field theory; the latter is also used to illuminate various aspects of renormalization theory, via analogies with condensed matter systems. Three chapters treat the fundamental topic of spontaneous symmetry breaking: the (Bogoliubov) superfluid and the (BCS) superconductor are studied in some detail; one chapter is devoted to the implications of global chiral symmetry breaking in QCD; and one to the breaking of local SU(2)xU(1) symmetry in the electroweak theory. Weak interaction phenomenology is extended to include discussion of discrete symmetries and of the possibility that neutrinos are Majorana (rather than Dirac) particles. Most of these topics are normally found only in more advanced texts, and this is the first book to treat them in a manner accessible to the wide readership that the previous editions have attracted.



Gauge Field Theories Spin One And Spin Two


Gauge Field Theories Spin One And Spin Two
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Author : Gunter Scharf
language : en
Publisher: Courier Dover Publications
Release Date : 2016-07-20

Gauge Field Theories Spin One And Spin Two written by Gunter Scharf and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-20 with Science categories.


Examination of appropriate formulation of quantum gauge invariance covers free fields, causal perturbation theory, spin-1 gauge theories involving both massless and massive gauge fields, spin-2 gauge theories, and non-geometric general relativity. 2001 edition.



An Introduction To Gauge Theories


An Introduction To Gauge Theories
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Author : Nicola Cabibbo
language : en
Publisher: CRC Press
Release Date : 2017-07-28

An Introduction To Gauge Theories written by Nicola Cabibbo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-28 with Science categories.


Written by world-leading experts in particle physics, this new book from Luciano Maiani and Omar Benhar, with contributions from the late Nicola Cabibbo, is based on Feynman’s path integrals. Key elements of gauge theories are described—Feynman diagrams, gauge-fixing, Faddeev-Popov ghosts—as well as renormalization in Quantum Electrodynamics. Quarks and QCD interactions are introduced. Renormalization group and high momentum behaviour of the coupling constants is discussed in QED and QCD, with asymptotic freedom derived at one-loop. These concepts are related to the Higgs boson and models of grand unification. "... an excellent introduction to the quantum theory of gauge fields and their applications to particle physics. ... It will be an excellent book for the serious student and a good reference for the professional practitioner. Let me add that, scattered through the pages, we can find occasional traces of Nicola Cabibbo's style." —John Iliopoulos, CNRS-Ecole Normale Supérieure " ... The volume ends with an illuminating description of the expectation generated by the recent discovery of the Higgs boson, combined with the lack of evidence for super-symmetric particles in the mass range 0.6-1 TeV." —Arturo Menchaca-Rocha, FinstP, Professor of Physics, Mexico’s National Autonomous University, Former President of the Mexican Academy of Sciences, Presidential Advisor "...The reader is masterfully guided through the subtleties of the quantum field theory and elementary particle physics from simple examples in Quantum Mechanics to salient details of modern theory." —Mikhail Voloshin, Professor of Physics, University of Minnesota



Gauge Theories In Particle Physics A Practical Introduction Volume 2 Non Abelian Gauge Theories


Gauge Theories In Particle Physics A Practical Introduction Volume 2 Non Abelian Gauge Theories
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Author : Ian J R Aitchison
language : en
Publisher: CRC Press
Release Date : 2012-12-17

Gauge Theories In Particle Physics A Practical Introduction Volume 2 Non Abelian Gauge Theories written by Ian J R Aitchison and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-17 with Science categories.


Volume 2 of this revised and updated edition provides an accessible and practical introduction to the two non-Abelian quantum gauge field theories of the Standard Model of particle physics: quantum chromodynamics (QCD) and the Glashow-Salam-Weinberg (GSW) electroweak theory. This volume covers much of the experimental progress made in the last ten years. A new chapter on CP violation and oscillation phenomena describes CP violation in B-meson decays as well as the main experiments that have led to our current knowledge of mass-squared differences and mixing angles in neutrino physics. Exploring a new era in particle physics, this edition discusses one of the most recent and exciting breakthroughs—the discovery of a boson with properties consistent with those of the Standard Model Higgs boson. It also updates many other topics, including jet algorithms, lattice QCD, effective Lagrangians, and three-generation quark mixing and the CKM matrix. New to the Fourth Edition New chapter on CP violation and oscillations in mesonic and neutrino systems New section on three-generation quark mixing and the CKM matrix Improved discussion of two-jet cross section in electron-positron annihilation New section on jet algorithms Recent lattice QCD calculations with dynamical fermions New section on effective Lagrangians for spontaneously broken chiral symmetry, including the three-flavor extension, meson mass relations, and chiral perturbation theory Update of asymptotic freedom Discussion of the historic discovery of a Higgs-like boson The authors discuss the main conceptual points of the theories, detail many practical calculations of physical quantities from first principles, and compare these quantitative predictions with experimental results, helping readers improve both their calculation skills and physical insight.



Gauge Theories In Particle Physics Third Edition 2 Volume Set


Gauge Theories In Particle Physics Third Edition 2 Volume Set
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Author : Ian J.R. Aitchison
language : en
Publisher: CRC Press
Release Date : 2004-01-01

Gauge Theories In Particle Physics Third Edition 2 Volume Set written by Ian J.R. Aitchison and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Science categories.


This two-volume set provides an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results. For this third edition, much has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. On the one hand, substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth-year courses. On the other hand, since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended to provide a uniquely accessible and self-contained introduction to quantum field dynamics as described by Feynman graphs. The level is suitable for advanced fourth-year undergraduates and first-year graduates. These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED. The second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis.



Gauge Theories In Particle Physics


Gauge Theories In Particle Physics
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Author : I.J.R. Aitchison
language : en
Publisher: CRC Press
Release Date : 2002-09-01

Gauge Theories In Particle Physics written by I.J.R. Aitchison and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-01 with Science categories.


Gauge Theories in Particle Physics, Volume 1: From Relativistic Quantum Mechanics to QED, Third Edition presents an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results. For this two-volume third edition, much of the book has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. Substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons, and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth year courses. Since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended so as to provide a uniquely accessible and self-contained introduction to quantum field dynamics, as described by Feynman graphs. The level is suitable for advanced fourth year undergraduates and first year graduates. These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED; the second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis.



Quantum Field Theory I


Quantum Field Theory I
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Author : Edouard B. Manoukian
language : en
Publisher:
Release Date : 2020-11-27

Quantum Field Theory I written by Edouard B. Manoukian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-27 with categories.


Quantum Field Theory I: Foundations and Abelian and Non-Abelian Gauge Theories by Edouard B. ManoukianThis textbook is based on lectures given in quantum field theory (QFT) over theyears to graduate students in theoretical and experimental physics. The writing ofthe book spread over three continents: North America (Canada), Europe (Ireland),and Asia (Thailand). QFT was born about 90 years ago, when quantum mechanicsmet relativity, and is still going strong. The book covers, pedagogically, the widespectrum of developments in QFT emphasizing, however, those parts which arereasonably well understood and for which satisfactory theoretical descriptions havebeen given.The legendary Richard Feynman in his 1958 Cornell, 1959-1960 Cal Techlectures on QFT of fundamental processes, the first statement he makes, the veryfirst one, is that the lectures cover all of physics.1 One quickly understands whatFeynman meant by covering all of physics. The role of fundamental physics is todescribe the basic interactions of Nature and QFT, par excellence, is supposed todo just that. Feynman's statement is obviously more relevant today than it wasthen, since the recent common goal is to provide a unified description of all thefundamental interactions in nature.The book requires as background a good knowledge of quantum mechanics,including rudiments of the Dirac equation, as well as elements of the Klein-Gordonequation, and the reader would benefit much by reading relevant sections of myearlier book : Quantum Theory: A Wide Spectrum (2006), Springer in this respect.This book differs from QFT books that have appeared in recent years2 in severalrespects and, in particular, it offers something new in its approach to the subject, andthe reader has plenty of opportunity to be exposed to many topics not covered, or With the mathematical rigor that renormalization has met over the years andthe reasonable agreement between gauge theories and experiments, the underlyingtheories are in pretty good shape. This volume is organized as follows. The firstintroductory chapter traces the subject of QFT since its birth, elaborating onmany of its important developments which are conveniently described in a fairlysimple language and will be quite useful for understanding the underlying technicaldetails of the theory covered in later chapters including those in Volume II. Apreliminary chapter follows which includes the study of symmetry transformationsin the quantum world, as well as of intricacies of functional differentiation andfunctional integration which are of great importance in field theory. Chapter 3deals with quantum field theory methods of spin 1/2 culminating in the study ofanomalies in the quantum world. The latter refers to the fact that a conservation law in classical physics does not necessarily hold in the quantum world. Chapter 4,acritical one, deals with the concept of a quantum field, the Poincaré algebra, andparticle states. Particular attention is given to the stationary action principle aswell as in developing the solutions of QFT via the quantum dynamical principle.This chapter includes the two celebrated theorems dealing with CPT symmetryand of the Spin & Statistics connection. A detailed section is involved with thebasic quantum fields one encounters in present day high-energy/elementary-particlephysics and should provide a useful reference source for the reader. Chapter 5 treatsabelian gauge theories (QED, scalar boson electrodynamics) in quite details andincludes, in particular, the derivations of two of the celebrated results of QEDwhich are the anomalous magnetic moment of the electron and the Lamb shift.Chapter 6 is involved with non-abelian gauge theories (electroweak, QCD, Grandunification).5 Such important topics are included as"asymptotic freedom," "deepinelastic"scattering, QCD jets, parton splittings, neutrino oscillations,