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The Standard Model and Beyond / Edition 1

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The Standard Model and Beyond presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. It provides a solid background for understanding supersymmetry, string theory, extra dimensions, dynamical symmetry breaking, and cosmology.

The book first reviews calculational techniques in field theory and the status of quantum electrodynamics. It then focuses on global and local symmetries and the construction of non-abelian gauge theories, before explaining the structure and tests of quantum chromodynamics. The book also describes the electroweak interactions and theory, including neutrino masses. The final chapter discusses the motivations for extending the standard model and examines supersymmetry, extended gauge groups, and grand unification.

Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics.

Supplementary materials are provided on the author's website and a solutions manual is available for qualifying instructors.

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Editorial Reviews

From the Publisher

… Paul Langacker is a pioneer in the field of high-precision tests of the Standard Model. … Langacker’s book is likely to play a pivotal role at this juncture when the plethora of ‘new physics’ and alternative models have emerged while experimental data has become too intricate to be comprehensible even to the experts. … Masterly treatment on the Standard Model by Langacker in Chapter 7, in my opinion, is the heart of the book. … Decades of past experience of the author in the area of precision tests make the writing lucid and transparent. … A thorough study of the book would enable the reader to unravel the intricacies involved in the claims of ‘new physics.’ … Langacker comprehensively demonstrates the spectacular successes of the Standard Model … This book would be of great utility to learn and do high quality particle physics in the age of LHC for both theorists and experimentalists. What about ‘new physics’? As and when this happens, the contents of the book would be helpful to focus on the matter-of-fact physics and interpret the new data. …
Contemporary Physics, Volume 52, Issue 3, 2011

… This substantial book — at more than 600 pages — gives a detailed and lucid summary of the theoretical foundations of the Standard Model, and possible extensions beyond it. …I heartily recommend it to particle physicists as a great single-volume reference, especially useful to experimentalists. It also provides a firm, graduate-level foundation for theoretical physicists who plan to pursue concepts beyond the Standard Model to a greater depth.
—Philip Burrows, John Adams Institute, Oxford University, UK, CERN Courier, June 2010

The Standard Model and Beyond is a state-of-the-art description of what we know about the particles and forces that build up the world we see. Most books that cover these topics are quantum field theory books that treat the quarks and leptons, and the electromagnetic, weak, and strong forces as examples. This is the first treatment with the opposite priorities, focusing on the structure and applications of the Standard Model and bringing in the field theory as needed, in a pedagogically reliable and thorough treatment. Langacker knows well that the Standard Model is the platform on which a deeper understanding of the laws of nature will be constructed, perhaps from clues soon to come from the Large Hadron Collider, and provides preparation so the reader can participate in that progress.
—Gordon Kane, Victor Weisskopf Collegiate Professor of Physics and Director of the Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, USA

This book is a valuable addition to the field and will remain a classic reference for years to come. It is an indispensable guide to the elementary particle physics of the next decade. It contains many important topics which are hard to find elsewhere except in their undistilled original form. A suitable balance has been struck between standard and more speculative topics. The many exercises are well-chosen and interesting. This fine book deserves to be the primary text in a full-year course at the graduate level for students who have already been exposed to quantum field theory.
—Jonathan L. Rosner, University of Chicago, Illinois, USA

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Product Details

Meet the Author

Paul Langacker is a Member of the Institute for Advanced Study in Princeton, New Jersey. Dr. Langacker is also Emeritus Professor of Physics and Astronomy at the University of Pennsylvania.

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Table of Contents

Notation and Conventions

Review of Perturbative Field Theory

Creation and Annihilation Operators

Lagrangian Field Theory

The Hermitian Scalar Field

The Complex Scalar Field

Electromagnetic and Vector Fields

Electromagnetic Interaction of Charged Pions

The Dirac Field

Quantum Electrodynamics (QED) for Electrons and Positrons

Spin Effects and Spinor Calculations

The Discrete Symmetries P, C, CP, T, and CPT

Two-Component Notation and Independent Fields


Mass and Kinetic Mixing

Lie Groups, Lie Algebras, and Symmetries

Basic Concepts

Global Symmetries in Field Theory

Symmetry Breaking and Realization

Gauge Theories

The Abelian Case

Non-Abelian Gauge Theories

The Higgs Mechanism

The Rξ Gauges


The Strong Interactions and Quantum Chromodynamics (QCD)

The QCD Lagrangian

Evidence for QCD

Simple QCD Processes

The Running Coupling in Non-Abelian Theories

Deep Inelastic Scattering

Other Short Distance Processes

The Strong Interactions at Long Distances

The Symmetries of QCD

Other Topics

The Weak Interactions

Origins of the Weak Interactions

The Fermi Theory of Charged Current Weak Interactions

The Standard Electroweak Theory

The Standard Model Lagrangian

Spontaneous Symmetry Breaking

The Z, the W, and the Weak Neutral Current

Gauge Self-Interactions

The Higgs

The CKM Matrix and CP Violation

Neutrino Mass and Mixing

Beyond the Standard Model

Problems with the Standard Model


Extended Gauge Groups

Grand Unified Theories (GUTs)

Appendix A: Canonical Commutation Rules

Appendix B: Derivation of a Simple Feynman Diagram

Appendix C: Unitarity, the Partial Wave Expansion, and the Optical Theorem

Appendix D: Two, Three, and n-Body Phase Space

Appendix E: Calculation of the Anomalous Magnetic Moment of the Electron

Appendix F: Breit–Wigner Resonances

Appendix G: Implications of P, C, T, and G-parity for Nucleon Matrix Elements

Appendix H: Collider Kinematics

Appendix I: Quantum Mechanical Analogs of Symmetry Breaking




Problems appear at the end of each chapter.

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