Temperature dependence of topological susceptibility using gradient flow

Yusuke Taniguchi, Shinji Ejiri, Kazuyuki Kanaya, Masakiyo Kitazawa, Hiroshi Suzuki, Takashi Umeda, Ryo Iwami, Naoki Wakabayashi

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
JournalProceedings of Science
VolumePart F128557
Publication statusPublished - 2016
Event34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom
Duration: Jul 24 2016Jul 30 2016

All Science Journal Classification (ASJC) codes

  • General


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