PoS - Proceedings of Science
Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Nonzero Temperature and Density
Temperature dependence of topological susceptibility using gradient flow
Y. Taniguchi,* S. Ejiri, K. Kanaya, M. Kitazawa, H. Suzuki, T. Umeda, R. Iwami, N. Wakabayashi
*corresponding author
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Pre-published on: January 30, 2017
Published on: March 24, 2017
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.
DOI: https://doi.org/10.22323/1.256.0064
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