Chiral Condensate and Short-Time Evolution of QCD(1+1) on the Light-Cone

TL;DR

This paper explores how chiral condensates in light-cone gauge theories can be understood through short-time limits of fermion propagators, emphasizing the role of gauge strings and infrared singularities in non-perturbative condensate formation.

Contribution

It demonstrates the emergence of chiral condensates in the trivial light-cone vacuum via short-time limits and highlights the importance of gauge strings and infrared effects in the 't Hooft model.

Findings

Chiral condensates can be obtained from short-time limits of fermion propagators.

Gauge strings and infrared singularities are crucial for non-perturbative condensate formation.

The approach is demonstrated explicitly in the 't Hooft model.

Abstract

Chiral condensates in the trivial light-cone vacuum emerge if defined as short-time limits of fermion propagators. In gauge theories, the necessary inclusion of a gauge string in combination with the characteristic light-cone infrared singularities contain the relevant non-perturbative ingredients responsible for formation of the condensate, as demonstrated for the 't Hooft model.