The topological susceptibility of SU(3) gauge theory near T_c

TL;DR

This paper calculates the topological susceptibility in SU(3) gauge theory near the critical temperature using fermionic methods, revealing a smooth decrease with increasing temperature and confirming the persistence of topological excitations above T_c.

Contribution

It provides the first large-scale analysis of topological susceptibility at high temperature using the Atiyah-Singer index theorem in lattice gauge theory.

Findings

Topological susceptibility decreases smoothly from (191(5) MeV)^4 to (100(5) MeV)^4 near T_c.

Topological excitations persist well above the critical temperature.

Results agree with field theoretical predictions.

Abstract

We compute the topological susceptibility chi_t in SU(3) lattice gauge theory using fermionic methods based on the Atiyah-Singer index theorem. Near the phase transition we find a smooth crossover behavior for chi_t with values decreasing from (191(5) MeV)^4 to (100(5) MeV)^4 as we increase the temperature from 0.88 T_c to 1.31 T_c, showing that topological excitations exist far above T_c. Our study is the first large scale analysis of the topological susceptibility at high temperature based on the index theorem and the results agree well with field theoretical methods.