Erratum: Exploring Nf=2+1 QCD thermodynamics from the gradient flow [Phys. Rev. D 96 , 014509 (2017)]

Abstract

The wrong expression is not used in our numerical simulations and any results are not affected by this typo.

Recent Progress on the QCD Phase Diagram

“…Calculating bulk thermodynamic quantities of QCD on the lattice has interesting developments in past couple of years, both in terms of new techniques and results. There are updates on the EoS using non-perturbatively O(a) improved Wilson fermions where gradient flow is employed to fix the renormalization of the energy momentum tensor [42] on the lattice [43]. Since the continuum limit is not yet achieved, the idea is to look at the plateau of relevant quantities as a function of a 2 /t where a is the lattice spacing and t being the flow time [43].…”

Measuring of chiral susceptibility using gradient flow

“…The results we obtained are quite encouraging. We see clear signals of the QCD transition/crossover with the chiral condensate and the disconnected chiral susceptibility, even with the explicit chiral violation of Wilson-type quarks [8]. We also find a good consistency between the gluonic and fermionic definitions for the topological susceptibility [9].…”

“…At this simulation point, finite temperature configurations have been generated on lattices with N t = 4, 6, • • • 16 corresponding to the tempereture range of 174-697 MeV [12]. In our previous study applying the gradient flow method to these configurations [8], however, it turned out that the lattices with N t < ∼ 8 suffer from sizable O ( (aT )…”

“…Recently, a new use of the gradient flow method [1,2,3,4] was proposed to calculate correctly renormalized observables from lattice simulations [5,6]: Making use of the finiteness of flowed operators, non-perturbative estimates of observables are extracted by taking a vanishing flow-time extrapolation. The new method was first applied to the energy-momentum tensor for which the explicit violation of the Poincaré invariance on the lattice has been a hard obstacle in obtaining a non-perturbative estimate [5,7,8]. However, because the method is quite general, we can apply it also to obtain correctly renormalized chiral observables from lattice simulations [6].…”

“…In Refs. [8,9], we have applied the method to study quantities including the chiral condensate, disconnected chiral susceptibility, and topological susceptibility in (2 + 1)-flavor full QCD at finite temperature, adopting improved Wilson quark action and Iwasaki gauge action. The results we obtained are quite encouraging.…”