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Introduction to Chiral Perturbation Theory

12 Pith papers cite this work. Polarity classification is still indexing.

12 Pith papers citing it
abstract

This article provides a pedagogical introduction to the basic concepts of chiral perturbation theory and is designed as a text for a two-semester course on that topic. Chapter 1 serves as a general introduction to the empirical and theoretical foundations which led to the development of chiral perturbation theory. Chapter 2 deals with QCD and its global symmetries in the chiral limit; the concept of Green functions and Ward identities reflecting the underlying chiral symmetry is elaborated. In Chap. 3 the idea of a spontaneous breakdown of a global symmetry is discussed and its consequences in terms of the Goldstone theorem are demonstrated. Chapter 4 deals with mesonic chiral perturbation theory and the principles entering the construction of the chiral Lagrangian are outlined. Various examples with increasing chiral orders and complexity are given. Finally, in Chap. 5 the methods are extended to include the interaction between Goldstone bosons and baryons in the single-baryon sector, with the main emphasis put on the heavy-baryon formulation. At the end, the method of infrared regularization in the relativistic framework is discussed.

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2026 11 2024 1

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representative citing papers

A Phenomenological Model of Mesons for Charged Current Weak Decays

hep-ph · 2026-05-13 · unverdicted · novelty 6.0

A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.

Principles and Possibilities for Bound States in Gauge Theory

hep-ph · 2026-06-07 · unverdicted · novelty 4.0 · 2 refs

Canonical quantization in temporal gauge produces instantaneous bound-state potentials in QED and QCD; a non-vanishing boundary condition on the longitudinal gluon field at infinity yields confinement for color singlets and permits perturbative hadron calculations plus spontaneous chiral symmetry br

Minimal superfluid vortices in chiral perturbation theory

hep-ph · 2026-06-03 · unverdicted · novelty 4.0

Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.

CP conservation in the strong interactions

hep-ph · 2024-04-24 · unverdicted · novelty 3.0

CP conservation in QCD follows from taking the infinite volume limit prior to summing over topological sectors, shown consistent with steepest-descent contours and chiral EFT.

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