Remarks on chiral symmetry breaking with massless fermions

TL;DR

This paper discusses recent findings on Lorentz covariant correlation functions for massless fermions, highlighting chiral symmetry breaking terms that resemble 2D conformal field theory fermionic correlators, with implications for understanding chiral symmetry.

Contribution

It introduces a novel construction of chiral symmetry breaking terms in Lorentz covariant correlators that resemble 2D CFT fermionic functions, providing new insights into symmetry breaking mechanisms.

Findings

Chiral symmetry breaking terms are explicitly constructed.

Correlation functions resemble 2D CFT fermionic correlators.

Results offer a new perspective on chiral symmetry in quantum field theory.

Abstract

In this talk I present recent results on Lorentz covariant correlation functions $\langle q(p_1)\overline{q}(p_2)\rangle$ on the cone $p^2=0$. In particular, chiral symmetry breaking terms are constructed which resemble fermionic 2--point functions of 2--D CFT up to a scalar factor.