Topological susceptibility near $T_c$ in SU(3) gauge theory

Abstract

Topological charge susceptibility ${\chi }_t$ for pure gauge SU(3) theory at finite temperature is studied using anisotropic lattices. The over-improved stout-link smoothing method is utilized to calculate the topological charge. Near the phase transition point we find a rapid declining behavior for ${\chi }_t$ with values decreasing from $(188(1)\mathrm{MeV}{)}^4$ to $(67(3)\mathrm{MeV}{)}^4$ as the temperature increased from zero temperature to $1.9T_c$ which demonstrates the existence of topological excitations far above $T_c$. The 4th order cumulant $c_4$ of topological charge, as well as the ratio $c_4/{\chi }_t$ are also investigated. Results of $c_4$ show step-like behavior near $T_c$ while the ratio at high temperature agrees with the value as predicted by the diluted instanton gas model.

8 pages, 4 figures;version accepted by PLB one reference added

References in corpus (7)

• Finite volume QCD at fixed topological charge
• Axion cosmology, lattice QCD and the dilute instanton gas
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice
• Over-Improved Stout-Link Smearing
• Cumulants of the QCD topological charge distribution
• Anisotropy tuning with the Wilson flow

Cited by in corpus (8)

• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
• Topology in full QCD at high temperature: a multicanonical approach
• $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation
• Spontaneous $CP$ breaking in QCD and the axion potential: an effective Lagrangian approach
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Deconfinement Phase Transition in the $SU(3)$ Instanton-dyon Ensemble
• Higher topological charge in the QCD vacuum and axion cosmology
• Localization of topological charge density near $T_c$ in quenched QCD with Wilson flow