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.

Contents

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 sumor 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

e−e+ 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
<...