Standard Model and Beyond

ISBN-10: 1420079069

ISBN-13: 9781420079067

Edition: 2009

Authors: Paul Langacker

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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. 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.
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Book details

List price: $94.95
Copyright year: 2009
Publisher: CRC Press LLC
Publication date: 12/1/2009
Binding: Hardcover
Pages: 676
Size: 6.00" wide x 9.25" long x 1.25" tall
Weight: 2.354
Language: English

Notation and Conventions
Review of Perturbative Field Theory
Creation and Annihilation Operators
Lagrangian Field Theory
The Hermitian Scalar Field
The Lagrangian and Equations of Motion
The Free Hermitian Scalar Field
The Feynman Rules
Kinematics and the Mandelstam Variables
The Cross Section and Decay Rate Formulae
Loop Effects
The Complex Scalar Field
U(1) Phase Symmetry and the Noether Theorem
Electromagnetic and Vector Fields
Massive Neutral Vector Field
Electromagnetic Interaction of Charged Pions
The Dirac Field
The Free Dirac Field
Dirac Matrices and Spinors
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
Quantum Electrodynamics (QED)
Higher-Order Effects
The Running Coupling
Tests of QED
The Role of the Strong Interactions
Mass and Kinetic Mixing
Lie Groups, Lie Algebras, and Symmetries
Basic Concepts
Groups and Representations
Examples of Lie Groups
More on Representations and Groups
Global Symmetries in Field Theory
Transformation of Fields and States
Invariance (Symmetry) and the Noether Theorem
Isospin and SU(3) Symmetries
Chiral Symmetries
Discrete Symmetries
Symmetry Breaking and Realization
A Single Hermitian Scalar
A Digression on Topological Defects
A Complex Scalar: Explicit and Spontaneous Symmetry Breaking
Spontaneously Broken Chiral Symmetry
Field Redefinition
The Nambu-Goldstone Theorem
Boundedness of the Potential
Example: Two Complex Scalars
Gauge Theories
The Abelian Case
Non-Abelian Gauge Theories
The Higgs Mechanism
The R<sup>�</sup> Gauges
The Strong Interactions and QCD
The QCD Lagrangian
Evidence for QCD
Simple QCD Processes
The Running Coupling in Non-Abelian Theories
The RGE Equations for an Arbitrary Gauge Theory
Deep Inelastic Scattering
Deep Inelastic Kinematics
The Cross Section and Structure Functions
The Simple Quark Parton Model (SPM)
Corrections to the Simple Parton Model
Other Short Distance Processes
The Strong Interactions at Long Distances
The Symmetries of QCD
Continuous Flavor Symmetries
The (3*, 3) + (3,3*) Model
The Axial U(1) Problem
The Linear � Model
The Nonlinear � Model
Other Topics
The Weak Interactions
Origins of the Weak Interactions
The Fermi Theory of Charged Current Weak Interactions
� Decay
� and K Decays
Nonrenormalization of Charge and the Ademollo-Gatto Theorem
� Decay
Hyperon Decays
Heavy Quark and Lepton Decays
The Standard Electroweak Theory
The Standard Model Lagrangian
Spontaneous Symmetry Breaking
The Higgs Mechanism
The Lagrangian in Unitary Gauge after SSB
Effective Theories
The R� Gauges
The Z, the W, and the Weak Neutral Current
Purely Weak Processes
Weak-Electromagnetic Interference
Implications of the WNC Experiments
Precision Tests of the Standard Model
The Z-Pole and Above
Implications of the Precision Program
Gauge Self-Interactions
The Higgs
Theoretical Constraints
Experimental Constraints and Prospects
The CKM Matrix and CP Violation
The CKM Matrix
CP Violation and the Unitarity Triangle
The Neutral Kaon System
Mixing and CP Violation in the B System
Time Reversal Violation and Electric Dipole Moments
Flavor Changing Neutral Currents (FCNC)
Neutrino Mass and Mixing
Basic Concepts for Neutrino Mass
The Propagators for Majorana Fermions
Experiments and Observations
Neutrino Oscillations
The Spectrum
Models of Neutrino Mass
Implications of Neutrino Mass
Beyond the Standard Model
Problems with the Standard Model
Implications of Supersymmetry
Supersymmetric Interactions
Supersymmetry Breaking and Mediation
The Minimal Supersymmetric Standard Model (MSSM)
Further Aspects of Supersymmetry
Extended Gauge Groups
SU(2) x U(l) x U(l)' Models
SU(2)L x SU(2)R x U(l) Models
Grand Unified Theories (GUTs)
The SU(5) Model
Beyond the Minimal SU(5) Model
Canonical Commutation Rules
Derivation of a Simple Feynman Diagram
Unitarity, the Partial Wave Expansion and the Optical Theorem
Two, Three, and n-Body Phase Space
Calculation of the Anomalous Magnetic Moment of the Electron
Breit-Wigner Resonances
Implications of P, C, T, and G-parity for Nucleon Matrix Elements
Collider Kinematics
Quantum Mechanical Analogs of Symmetry Breaking
Field Theory
The Standard Model and Particle Physics
The Strong Interactions, QCD, and Collider Physics
The Electroweak Interactions
CP Violation
Supersymmetry, Strings, and Grand Unification
Astrophysics and Cosmology
Groups and Symmetries
Web Sites
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