Topology in full QCD at high temperature: a multicanonical approach

Abstract

We investigate the topological properties of $N_f=2+1$ QCD with physical quark masses, at temperatures around 500 MeV. With the aim of obtaining a reliable sampling of topological modes in a regime where the fluctuations of the topological charge $Q$ are very rare, we adopt a multicanonical approach, adding a bias potential to the action which enhances the probability of suppressed topological sectors. This method permits to gain up to three orders of magnitude in computational power in the explored temperature regime. Results at different lattice spacings and physical spatial volumes reveal no significant finite size effects and the presence, instead, of large finite cut-off effects, with the topological susceptibility which decreases by 3-4 orders of magnitude while moving from $a\simeq 0.06$ fm towards the continuum limit. The continuum extrapolation is in agreeement with previous lattice determinations with smaller uncertainties but obtained based on ansatzes justified by several theoretical assumptions. The parameter $b_2$, related to the fourth order coefficient in the Taylor expansion of the free energy density $f(\theta )$, has instead a smooth continuum extrapolation which is in agreement with the dilute instanton gas approximation (DIGA); moreover, a direct measurement of the relative weights of the different topological sectors gives an even stronger support to the validity of DIGA.

arXiv comment23 pages, 13 figures

References in corpus (55)

• Escaping free-energy minima
• Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
• Instantons in QCD
• Full result for the QCD equation of state with 2+1 flavors
• The QCD equation of state with dynamical quarks
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Trivializing maps, the Wilson flow and the HMC algorithm
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Critical slowing down and error analysis in lattice QCD simulations
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• The topological susceptibility in finite temperature QCD and axion cosmology
• Theta dependence of SU(N) gauge theories
• Topological susceptibility at zero and finite $T$ in SU(3) Yang-Mills theory
• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
• Topological susceptibility in the SU(3) gauge theory
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Lattice QCD input for axion cosmology
• Axion cosmology, lattice QCD and the dilute instanton gas
• Exact 2+1 flavour RHMC simulations
• Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory
• Critical slowing down of topological modes
• Hybrid Monte Carlo and topological modes of full QCD
• Confronting Instanton Perturbation Theory with QCD Lattice Results
• Precision study of the SU(3) topological susceptibility in the continuum
• Topology of SU(N) gauge theories at T=0 and T=Tc
• Universality of the topological susceptibility in the SU(3) gauge theory
• Change of theta dependence in 4D SU(N) gauge theories across the deconfinement transition
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• Chiral observables and topology in hot QCD with two families of quarks
• Topological susceptibility at high temperature on the lattice
• Accelerating Staggered Fermion Dynamics with the Rational Hybrid Monte Carlo (RHMC) Algorithm
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• Topological charge using cooling and the gradient flow
• Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• Topological susceptibility in full QCD at zero and finite temperature
• $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation
• The topological susceptibility of SU(3) gauge theory near T_c
• The 4D SU(3) gauge theory with an imaginary theta term
• Field theoretical approach to the study of theta dependence in Yang-Mills theories on the lattice
• Topological susceptibility of SU(N) gauge theories at finite temperature
• Topological susceptibility with the asqtad action
• Topological critical slowing down: variations on a toy model
• Non-perturbative Test of the Witten-Veneziano Formula from Lattice QCD
• Metadynamics Surfing on Topology Barriers: the $C{P}^{N-1}$ Case
• ${\chi }_{\text{top}}(T\gg T_{\text{c}})$ in pure-glue QCD through reweighting
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Topological susceptibility from $N_f=2+1+1$ lattice QCD at nonzero temperature
• Topological susceptibility from the twisted mass Dirac operator spectrum
• Topology and $\theta$ dependence in finite temperature $G_2$ lattice gauge theory
• Deconfinement, gradient and cooling scales for pure SU(2) lattice gauge theory
• Twist-3 Contributions in Semi-Inclusive DIS with Transversely Polarized Target
• Topological susceptibility near $T_c$ in SU(3) gauge theory

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