Lie Algebras In Particle Physics

from Isospin To Unified Theories

Author: Howard Georgi

Publisher: CRC Press

ISBN: 0429967764

Category: Science

Page: 340

View: 4940

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Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions.

Lie Algebras In Particle Physics

from Isospin To Unified Theories

Author: Howard Georgi

Publisher: CRC Press

ISBN: 0429978847

Category: Science

Page: 340

View: 9180

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Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions.

Lie Algebras In Particle Physics

from Isospin To Unified Theories

Author: Howard Georgi

Publisher: Hachette UK

ISBN: 0813346118

Category: Science

Page: 344

View: 1981

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Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions.

Lie Algebras In Particle Physics

from Isospin To Unified Theories

Author: Howard Georgi

Publisher: CRC Press

ISBN: 0429978847

Category: Science

Page: 340

View: 7545

DOWNLOAD NOW »
Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions.

Groups, Representations and Physics

Author: H.F Jones

Publisher: CRC Press

ISBN: 9781420050295

Category: Mathematics

Page: 340

View: 5063

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Illustrating the fascinating interplay between physics and mathematics, Groups, Representations and Physics, Second Edition provides a solid foundation in the theory of groups, particularly group representations. For this new, fully revised edition, the author has enhanced the book's usefulness and widened its appeal by adding a chapter on the Cartan-Dynkin treatment of Lie algebras. This treatment, a generalization of the method of raising and lowering operators used for the rotation group, leads to a systematic classification of Lie algebras and enables one to enumerate and construct their irreducible representations. Taking an approach that allows physics students to recognize the power and elegance of the abstract, axiomatic method, the book focuses on chapters that develop the formalism, followed by chapters that deal with the physical applications. It also illustrates formal mathematical definitions and proofs with numerous concrete examples.

Semi-Simple Lie Algebras and Their Representations

Author: Robert N. Cahn

Publisher: Courier Corporation

ISBN: 0486150313

Category: Mathematics

Page: 176

View: 5107

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Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. 1984 edition.

The Theory of Quark and Gluon Interactions

Author: Francisco J. Yndurain

Publisher: Springer Science & Business Media

ISBN: 3540332103

Category: Science

Page: 476

View: 6221

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First published in 1983, this book has become a classic among advanced textbooks. The new fourth edition maintains the high standard of its predecessors. The book offers basic knowledge of field theory and particle phenomenology. The author presents the basic facts of quark and gluon physics in pedagogical form. Explanations of theory are supported throughout with experimental findings. The text provides readers with sufficient understanding to follow modern research articles. This fourth edition presents a new section on heavy quark effective theories, more material on lattice QCD and on chiral perturbation theory.

Quarks, Gluons and Lattices

Author: Michael Creutz

Publisher: Cambridge University Press

ISBN: 9780521315357

Category: Science

Page: 169

View: 8466

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This book introduces the lattice approach to quantum field theory. The spectacular successes of this technique include compelling evidence that exchange of gauge gluons can confine the quarks within subnuclear matter. The lattice framework enables novel schemes for quantitative calculation and has caused considerable cross-disciplinary activity between elementary particle and solid state physicists. The treatment begins with the lattice definition of a path integral and ends on Monte Carlo simulation methods. Other topics include invariant group integration, duality, mean field theory and renormalization group techniques. The reader is assumed to have a basic background in relativistic quantum mechanics and some exposure to gauge theories.

Lie Groups, Lie Algebras, and Some of Their Applications

Author: Robert Gilmore

Publisher: Courier Corporation

ISBN: 0486131564

Category: Mathematics

Page: 608

View: 6037

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This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.

Grand Unified Theories

Author: Graham Ross

Publisher: Westview Press

ISBN: 9780805369687

Category: Science

Page: 512

View: 1720

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Grand Unified Theories introduces the application of gauge field theories to a unified description of the strong, electromagnetic, weak, and gravitational interactions. The phenomenological aspects of the work are emphasized and explicit calculations presented. Many of the aspects of current research, including technicolor models, supersymmetry and supergravity, and the cosmological implications of these theories, are discussed in this book.This book is suitable for graduate students with a background in quantum mechanics, and experimental and theoretical particle physicists who want to understand the grand unified theories.

Symmetries, Lie Algebras and Representations

A Graduate Course for Physicists

Author: Jürgen Fuchs,Christoph Schweigert

Publisher: Cambridge University Press

ISBN: 9780521541190

Category: Mathematics

Page: 464

View: 4786

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This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.

Leptons and Quarks

(Special Edition Commemorating the Discovery of the Higgs Boson)

Author: Lev B Okun

Publisher: World Scientific

ISBN: 9814603147

Category: Science

Page: 432

View: 7530

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The book “Leptons and Quarks” was first published in the early 1980s, when the program of the experimental search for the intermediate bosons W and Z and Higgs boson H was formulated. The aim and scope of the present extended edition of the book, written after the experimental discovery of the Higgs boson in 2012, is to reflect the various stages of this 30+ years search. Along with the text of the first edition of “Leptons and Quarks” it contains extracts from a number of books published by World Scientific and an article from “On the concepts of vacuum and mass and the search for higgs” available from http://www.worldscientific.com/worldscinet/mpla or from http://arxiv.org/abs/1212.1031. The book is unique in communicating the Electroweak Theory at a basic level and in connecting the concept of Lorenz invariant mass with the concept of the Extended Standard Model, which includes gravitons as the carriers of gravitational interaction. Contents:IntroductionStructure of Weak CurrentsMuon decayStrangeness-Conserving Leptonic Decays of Hadrons. Properties of the Ud-CurrentLeptonic Decays of Pions and NucleonsLeptonic Decays of K-Mesons and HyperonsStrangeness-Changing Non-Leptonic InteractionsPhenomenology of Non-Leptonic InteractionsDynamics of Non-Leptonic Decays of HyperonsNon-Leptonic Decays of K-MesonsNeutral K-Mesons in Vacuum and in MatterViolation of CP InvarianceDecays of the τ-LeptonDecays of Charmed ParticlesWeak Decays b- and t-QuarksNeutrino–Electron InteractionsNeutrino–Nucleon InteractionsRenormalizabilityGauge InvarianceSpontaneous Symmetry BreakingStandard Model of the Electroweak InteractionNeutral CurrentsProperties of Intermediate BosonsProperties of Higgs BosonsGrand UnificationSuperunificationParticles and the UniverseBibliographyApendix (Some Useful Formulas)Tables of Experimental Data Readership: Graduate students and researchers in high energy and particle physics. Key Features:The book differs from the competing titles by the unique interpretation of real and virtual particles in the framework of Feynman diagrams and by the unique inclusion of gravitons in the framework of the Extended Standard ModelKeywords:Elementary Particle Theory

Group Theory

A Physicist's Survey

Author: Pierre Ramond

Publisher: Cambridge University Press

ISBN: 113948964X

Category: Science

Page: N.A

View: 3705

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Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become a powerful conceptual tool as well. This book introduces physicists to many of the fascinating mathematical aspects of group theory, and mathematicians to its physics applications. Designed for advanced undergraduate and graduate students, this book gives a comprehensive overview of the main aspects of both finite and continuous group theory, with an emphasis on applications to fundamental physics. Finite groups are extensively discussed, highlighting their irreducible representations and invariants. Lie algebras, and to a lesser extent Kac–Moody algebras, are treated in detail, including Dynkin diagrams. Special emphasis is given to their representations and embeddings. The group theory underlying the Standard Model is discussed, along with its importance in model building. Applications of group theory to the classification of elementary particles are treated in detail.

Group Theory in a Nutshell for Physicists

Author: A. Zee

Publisher: Princeton University Press

ISBN: 1400881188

Category: Science

Page: 632

View: 3867

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Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)

An Introduction to Nuclear Physics

Author: W. N. Cottingham,D. A. Greenwood

Publisher: Cambridge University Press

ISBN: 9780521657334

Category: Science

Page: 271

View: 8631

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This clear and concise introduction to nuclear physics provides an excellent basis for a core undergraduate course in this area. The book opens by setting nuclear physics in the context of elementary particle physics and then shows how simple models can provide an understanding of the properties of nuclei, both in their ground states and excited states, and also of the nature of nuclear reactions. The book also includes chapters on nuclear fission, its application in nuclear power reactors, the role of nuclear physics in energy production and nucleosynthesis in stars. This second edition contains several additional topics: muon-catalysed fusion, the nuclear and neutrino physics of supernovae, neutrino mass and neutrino oscillations, and the biological effects of radiation. A knowledge of basic quantum mechanics and special relativity is assumed. Appendices deal with other more specialized topics. Each chapter ends with a set of problems for which outline solutions are provided.

Heavy Quark Physics

Author: Aneesh V. Manohar,Mark B. Wise

Publisher: Cambridge University Press

ISBN: 9780521037570

Category: Science

Page: 204

View: 8111

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Understanding the physics of heavy quarks gives physicists the unique opportunity to test the predictions of Quantum Chromodynamics and the Standard Model. First published in 2000, this introductory text on this exciting area of high-energy physics begins with a review of the standard model, followed by the basics of heavy quark spin-flavor symmetry and how it can be applied to the classification of states, decays and fragmentation. Heavy quark effective theory is then developed and applied to the study of hadron masses, form factors, and inclusive decay rates. The authors also discuss the application of chiral perturbation theory to heavy hadrons. Written by two world leading experts, the presentation is clear and original, with problems provided at the end of each chapter. This lucid volume provides graduate students with an ideal introduction to the physics of heavy quarks, and more experienced researchers with an authoritative reference to the subject.

Mirror Symmetry

Author: Kentaro Hori

Publisher: American Mathematical Soc.

ISBN: 0821829556

Category: Mathematics

Page: 929

View: 3355

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Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar Vafa invariants. This book aims to give a single, cohesive treatment of mirror symmetry from both the mathematical and physical viewpoint. Parts 1 and 2 develop the necessary mathematical and physical background ``from scratch,'' and are intended for readers trying to learn across disciplines. The treatment is focussed, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topics in mirror symmetry, including the role of D-branes in the context of mirror symmetry, and some of their applications in physics and mathematics: topological strings and large $N$ Chern-Simons theory; geometric engineering; mirror symmetry at higher genus; Gopakumar-Vafa invariants; and Kontsevich's formulation of the mirror phenomenon as an equivalence of categories. This book grew out of an intense, month-long course on mirror symmetry at Pine Manor College, sponsored by the Clay Mathematics Institute. The lecturers have tried to summarize this course in a coherent, unified text.

Advanced Topics in Quantum Field Theory

A Lecture Course

Author: M. Shifman

Publisher: Cambridge University Press

ISBN: 1139501887

Category: Science

Page: N.A

View: 6279

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Since the advent of Yang–Mills theories and supersymmetry in the 1970s, quantum field theory - the basis of the modern description of physical phenomena at the fundamental level - has undergone revolutionary developments. This is the first systematic and comprehensive text devoted specifically to modern field theory, bringing readers to the cutting edge of current research. The book emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. Featuring extensive cross-referencing from traditional topics to recent breakthroughs in the field, it prepares students for independent research. The side boxes summarizing the main results and over 70 exercises make this an indispensable book for graduate students and researchers in theoretical physics.