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Temperature dependence of topological susceptibility using gradient flow

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

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf


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.