# PoS(LATTICE2016)064

Temperature dependence of topological susceptibility using gradient flow

Y. Taniguchi, S. Ejiri, K. Kanaya, M. Kitazawa, H. Suzuki, T. Umeda, R. Iwami, N. Wakabayashi

Contribution: pdf

Abstract

We study temperature dependence of the topological susceptibility with the Wilson fermion.
We have two major interest in this paper.
One is a comparison of gluonic and fermionic definition of the topological susceptibility.
Two definitions are related by the chiral Ward-Takahashi identity but their coincidence is
highly non-trivial for the Wilson fermion.
By applying the gradient flow both for the gauge and quark field we find a good agreement of
these two measurements.
The other is a verification of a prediction of the dilute instanton gas approximation at low temperature
region $T_{pc}\simle T\simle1.5T_{pc}$, for which
we confirm the prediction that the topological susceptibility decays with power
$\chi_{t}\propto(T/T_{pc})^{-8}$ for three flavors QCD.