Temperature dependence of topological susceptibility using gradient flow

2016/11/08 by Yusuke Taniguchi, Taniguchi, Yusuke, Shinji Ejiri +13
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1611.02413

openalex publication_date 2016/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We study temperature dependence of the topological susceptibility with the N_f=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 T_pc< T<1.5T_pc, for which we confirm the prediction that the topological susceptibility decays with power χ_t∝(T/T_pc)^-8 for three flavors QCD.

Citations

• Lattice QCD for Cosmology

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