From Quarks to Pions

From Quarks to Pions

Chiral Symmetry and Confinement

Michael Creutz


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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

Readership: Advanced students and researchers in high-energy physics.
Quark Confinement;Chiral Symmetry;QCD;Quantum Field TheoryKey Features:
  • This would be the first book to elaborate the detailed connections between confinement and chiral symmetry