Chiral Perturbation Theory

2006/11/17 by Véronique Bernard, Ulf-G. Meißner · 1 voice · 1 citation
Physics and Astronomy · #Chiral anomaly #Chiral perturbation theory #Chiral symmetry #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1146/annurev.nucl.56.080805.140449

published as Ann.Rev.Nucl.Part.Sci.57:33-60,2007 · Commissioned article for Ann. Rev. Nucl. Part. Sci., 27 pp, 7 figs

arxiv created 2006/11/17 · arxiv published 2006/11/17 · arxiv updated 2006/11/17 · openalex publication_date 2007/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This review gives a brief introduction to chiral perturbation theory in its various settings. We discuss some applications of recent interest, including chiral extrapolations for lattice gauge theory.

Citations

• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to ππ scattering
• Determination of light and strange quark masses from two-flavour dynamical lattice QCD
• A method for simulating chiral fermions on the lattice
• KScattering in Three Flavour ChPT
• Effective chiral Lagrangians and lattice QCD
• The pion and proton mass in finite volume
• Analysis and interpretation of new low-energy ππ scattering data
• Resumming QCD vacuum fluctuations in three-flavor Chiral Perturbation Theory
• Aspects of near-threshold neutral pion photoproduction off protons
• Cusps in K→3π decays
• Field theories with « Superconductor » solutions
• Chiral perturbation theory to one loop
• The low energy ππ amplitude to one and two loops
• Electromagnetic corrections in hadronic processes
• Pion–nucleon scattering inside the Mandelstam triangle
• TheBKkaon parameter in the chiral limit
• Explicit generating functional for pions and virtual photons
• Chiral perturbation theory
• A new analysis of π K scattering from Roy and Steiner type equations
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Determination of thea0−a2Pion Scattering Length fromK+→π+π0π0Decay
• Nucleon Axial Charge in Full Lattice QCD
• The Fubini-Furlan-Rosetti sum rule and related aspects in light of covariant baryon chiral perturbation theory⋆
• The nucleon axial-vector coupling beyond one loop
• Hadron structure in the non-perturbative regime of QCD: Isospin symmetry and its violation
• Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants
• A nucleon in a tiny box
• Chiral Dynamics in Nucleons and Nuclei
• Pion-pion scattering at low energy
• Precision of chiral-dispersive calculations of ππ scattering
• Quark masses
• Phenomenological Lagrangians
• Broken Symmetries
• Observation of a cusp-like structure in the π0π 0 invariant mass distribution from K±→π ±π0π0 decay and determination of the ππ scattering lengths

Cited by

• Review of the Λ (1405) A curious case of a strangeness resonance

Discussions

• Nature does part of what you suggest, by taking the $SU(6)_L\times SU(6)_R$ symmetry, and gauging an $SU(2)_L$ subgroup that acts on generations. Why it chooses to embed generations and employ a chira [stackexchange, 0 points]