We study temperature dependence of the topological susceptibility with the Nf = 2+1 flavors Wilson fermion. We have two major interests in this paper. One is a comparison of gluonic and fermionic definitions 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 fields 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 Tpc < T < 1.5Tpc, for which we confirm the prediction that the topological susceptibility decays with power χτ ∝ (T/Tpc)-8 for three flavors QCD.
|Journal||Proceedings of Science|
|Publication status||Published - 2016|
|Event||34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom|
Duration: Jul 24 2016 → Jul 30 2016
All Science Journal Classification (ASJC) codes