1st Edition

Advanced Particle Physics Volume II The Standard Model and Beyond

By Oleg Boyarkin Copyright 2011
    565 Pages 169 B/W Illustrations
    by CRC Press

    566 Pages 169 B/W Illustrations
    by CRC Press

    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.

    QUANTUM CHROMODYNAMICS
    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
    U(1)-problem

    Anomalies
    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
    Confinement
    Hadron masses

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

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

    QCD Experimental Status

    ELECTROWEAK INTERACTIONS
    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 PHYSICS
    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.

    Biography

    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.