Advanced Particle Physics Volume II : The Standard Model and Beyond book cover
1st Edition

Advanced Particle Physics Volume II
The Standard Model and Beyond

ISBN 9781138374119
Published September 10, 2018 by CRC Press
565 Pages 169 B/W Illustrations

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Book Description

Helping readers understand the complicated laws of nature, Advanced Particle Physics Volume II: The Standard Model and Beyond explains the calculations, experimental procedures, and measuring methods of particle physics, particularly quantum chromodynamics (QCD). It also discusses extensions to the Standard Model and the physics of massive neutrinos.

Divided into three parts, this volume begins with QCD. It explains the quantization scheme using functional integrals and investigates renormalization problems. The book also calculates cross sections of basic hard processes and covers nonperturbative methods, such as the lattice approach and QCD vacuum. The next part focuses on electroweak interactions, in which the author describes the Glashow–Weinberg–Salam theory and presents composite models and a left-right symmetric model as extensions to the Standard Model. The book concludes with chapters on massive neutrino physics that cover neutrino properties, neutrino oscillation in vacuum and matter, and solar and atmospheric neutrinos.

Table of Contents

Canonical Quantization
Fundamental relations of chromodynamics
Gauge invariance in QCD
Quantization of free gluon field
Feynman rules in QCD with covariant gauge

Formalism of Functional Integration
Functional integral in quantum mechanics
Boson fields quantization by means of functional integrals method
Fermion fields quantization by means of functional integrals method
Functional formulation of QCD

Renormalization and Unitarity
Primitive divergent diagrams
Slavnov–Taylor identities
Ghosts and S-matrix unitarity
Renormalization of one-loop diagrams

Asymptotical Freedom
Callan–Symanzik equation
Evolution of effective coupling constant in QCD

Chiral Symmetries
Current algebras
Weak and electromagnetic currents of hadrons
Adler’s sum rules for neutrino reactions
Goldstone theorem
Hypothesis of partially conserved axial current

Adler–Bell–Jackiw anomaly (perturbative approach)
Adler–Bell–Jackiw anomaly (nonperturbative approach)
π0 → γγ decay
Chiral anomalies and chiral gauge theories
Anomalous breaking of scale invariance

Hard Processes in QCD
ee+ annihilation into hadrons
Deep inelastic scattering of leptons by proton
Parton distribution functions
Quark-gluon dynamics
Scaling violation. Altarelli–Parisi equation
Fragmentation functions
Drell–Yan process
Gauge bosons production at hadron collisions
Higgs bosons production

Lattice QCD
Lattice approach
Scalar field
Fermion fields
Geometric interpretation of gauge invariance
QCD action
Hadron masses

Quark-Gluon Plasma
Aggregate states of matter
Looking for QGP
QGP within holographic duality

QCD Vacuum
Kinks and breathers
Topology and vacuum in gauge theory
Vortices and monopoles
Instanton physics

QCD Experimental Status

Glashow–Weinberg–Salam Theory
Choice of gauge group
Lagrangian in generalized renormalizable gauge
Cabibbo–Kobayashi–Maskawa matrix
Four-fermion invariants and Fierz identities
Muon decays
(g − 2)μ anomaly
Effects of interference of weak and electromagnetic interactions
Neutrino-electron scattering
Neutrino-nucleon scattering

Physics beyond the Standard Model
Models, models
Multipole moments of gauge bosons
Left-right model
Left-right model in the making

Neutrino Properties
Neutrino mass in models with SU(2)L × U(1)Y gauge group
Multipole moments of neutrinos

Neutrino Oscillation in Vacuum
Description in formalism of de Broglie’s waves
Oscillations and uncertainty relation
Wave packet treatment of neutrino oscillations
Evolution equation for neutrino

Neutrino Oscillation in Matter
Neutrino motion in condensate matter
Adiabatic approximation
Nonadiabatic effects
Neutrino oscillations in magnetic field
Neutrino oscillations in LRM

Solar Neutrinos
Some information about Sun structure
Sources of solar neutrinos
Detection of solar neutrinos
Analysis of neutrino observation data
Neutrino propagation through Earth

Atmospheric Neutrinos
Cosmic rays
Atmospheric neutrino production
Atmospheric neutrino detection

Results and Perspectives

References appear at the end of each section.

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Oleg Boyarkin is a professor of theoretical physics at Belarus State Pedagogical University. Dr. Boyarkin has authored several physics books and was nominated as International Scientist of the Year 2007 by the International Biographical Centre of Cambridge.