Non-Commutative Geometry and Chiral Perturbation Lagrangian

TL;DR

This paper explores the formulation of the chiral perturbation Lagrangian within non-commutative geometry, revealing natural relations among coupling constants and incorporating the WZW term seamlessly.

Contribution

It introduces a novel approach to chiral perturbation theory using non-commutative geometry, unifying symmetry breaking terms and the WZW term.

Findings

Explicit symmetry breaking terms are naturally derived.

Relations between coupling constants emerge from the framework.

The WZW term is incorporated on equal footing with other terms.

Abstract

Chiral perturbation lagrangian in the framework of non-commutative geometry is considered in full detail. It is found that the explicit symmetry breaking terms appear and some relations between the coupling constants of the theory come out naturally. The WZW term also turns up on the same footing as the other terms of the chiral lagrangian.