Creutz M. From Quarks to Pions: Chiral Symmetry and Confinement

World Scientific Publ., 2018. — 216 p. — ISBN10: 9813229233.At a fundamental level, the interaction of quarks with gluon fields lies at the heart of our understanding of the strong nuclear force. Experimentally, however, we only observe physical hadrons such as protons and pions. This book explores the fascinating physics involved in the path between these contrasting pictures of the world. Along the way, the book discusses symmetries, which play a crucial role in understanding the parameters of the theory, and details of the spectrum of physical particles.This would be the first book to elaborate on the detailed connections between confinement and chiral symmetry, with an emphasis on a unified treatment of the non-perturbative nature of these phenomena. As such, it should be a valuable title on any particle theorist's bookshelf, containing extensive pedagogical material for scientists at the graduate level and above.QCD
Perturbation theory is not enough
Lessons from two dimensions
The two-dimensional Ising model
Path integrals and statistical mechanics
Quark fields and Grassmann integration
Lattice gauge theory
Monte Carlo simulation
Renormalization and the continuum limit
Classical gauge fields and topology
Zero modes and the Dirac operator
Chiral symmetry
The chiral anomaly
Massive quarks and the Theta parameter
Quark masses in two-flavor QCD
Lattice fermions
Actions preserving chiral symmetry
Quantum fluctuations and topology
The Standard Model
Final remarks