Chiral Condensate in Two Dimensional Models

TL;DR

This paper studies chiral condensates in two 2D models, revealing that condensates persist in Yukawa interactions with massless fermions but vanish in QED2 under similar conditions.

Contribution

It provides a comparative analysis of chiral condensates in Yukawa and QED2 models, highlighting their different behaviors in the massless limit.

Findings

Chiral condensate remains non-zero in Yukawa model as fermion mass approaches zero.

Chiral condensate vanishes in QED2 when fermion mass is zero.

One-loop approximation used for calculations.

Abstract

We investigate two different models. In one of them massive fermions interact with a massive scalar field and in the other the fermion field is in an electrical field (QED2). The chiral condensates are calculated in one-loop approximation. We found that the chiral condensate in the case of the Yukawa interaction the fermions and scalar field does not vanish if the mass of the fermion field tends to zero. The chiral condensate disappears in QED2, if the fermion mass is zero.