Fermion propagator at finite temperatures on extremely anisotropic lattice

TL;DR

This paper calculates the fermion propagator on a highly anisotropic lattice, evaluates the fermion determinant to a specific order, and estimates the chiral condensate using mean field approximation, providing insights into finite temperature effects.

Contribution

It introduces a method to compute the fermion propagator and determinant on an extremely anisotropic lattice, advancing understanding of finite temperature quantum field theories.

Findings

Fermion propagator computed on anisotropic lattice

Fermion determinant evaluated up to  order in 

Chiral condensate estimated using mean field approximation

Abstract

Fermion propagator is computed in a simple model on an extremely anisotropic lattice $\xi\gg1$. Fermion determinant is evaluated up to $\xi^{-4}$ order. Chiral condensate is estimated in mean field approximation.