Nonperturbative SUSY Correlators at Finite Temperature

TL;DR

This paper investigates how finite temperature affects correlation functions in a two-dimensional supersymmetric sigma model, revealing exponential decay at large distances and chiral symmetry violation, contrasting with zero-temperature behavior.

Contribution

It provides an exact calculation of the finite temperature correlation function in a supersymmetric model, highlighting the temperature-induced decay and symmetry breaking effects.

Findings

Correlation function decays exponentially at finite temperature

Chiral symmetry is violated at finite temperature

Zero-temperature double-valued condensate is replaced by exponential decay

Abstract

We calculate finite temperature effects on a correlation function in the two dimensional supersymmetric nonlinear O(3) sigma model. The correlation function violates chiral symmetry and at zero temperature it has been shown to be a constant, which gives rise to a double-valued condensate. Within the bilinear approximation we find an exact result in a one-instanton background at finite temperature. In contrast to the result at zero temperature we find that the correlation function decays exponentially at large distances.