Topological susceptibility at $T>T_{\mathrm{c}}$ from master-field simulations of the SU(3) gauge theory

Abstract

The topological susceptibility is computed in the SU(3) gauge theory at temperatures $T$ above the critical temperature $T_{\mathrm{c}}$ using master-field simulations of very large lattices, where the infamous topology-freezing issue is effectively bypassed. Up to $T=2.0T_{\mathrm{c}}$ no unusually large lattice effects are observed and the results obtained in the continuum limit confirm the expected rapid decay of the susceptibility with increasing temperature. As a byproduct, the reference gradient-flow time $t_0$ is determined in the range of lattice spacings from $0.023$ to $0.1\mathrm{fm}$ with a precision of 2 per mille.

19 pages, 6 figures, plain TeX source

References in corpus (2)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Finite volume QCD at fixed topological charge

Cited by in corpus (21)

• Topology and axions in QCD
• Master-field simulations of O(a)-improved lattice QCD: Algorithms, stability and exactness
• Minimal warm inflation with complete medium response
• Topological sampling through windings
• The Myriad Uses of Instantons
• Lattice determinations of the strong coupling
• The Holographic QCD Axion
• Maximal temperature of strongly-coupled dark sectors
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Finite size effect on vector meson and baryon sectors in 2+1 flavor QCD at the physical point
• Strong CP problem in the quantum rotor
• Scaling of Stochastic Normalizing Flows in $\mathrm{SU}(3)$ lattice gauge theory
• Open-Boundary Conditions in the Deconfined Phase
• Machine-learned RG-improved gauge actions and classically perfect gradient flows
• Static force from generalized Wilson loops on the lattice using the gradient flow
• Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Four-dimensional factorization of the fermion determinant in lattice QCD
• Classifying Topological Charge in SU(3) Yang-Mills Theory with Machine Learning
• Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence
• Memory efficient finite volume schemes with twisted boundary conditions