Erratum: Thermodynamics ofSU(3)gauge theory from gradient flow on the lattice [Phys. Rev. D90, 011501(R) (2014)]

Lattice QCD: bulk and transport properties of QCD matter

“…For example, the equation of state of QCD is now available for a system of 2+1 dynamical quark flavors with physical quark masses in the continuum limit. In 2014, the HotQCD collaboration published continuum results for pressure, energy density, entropy density and interaction measure as functions of the temperature [2] which agree with the ones previously obtained by the Wuppertal Budapest (WB) 2 / Nuclear Physics A 00 (2018) [1][2][3][4][5][6][7][8] collaboration [3,4]: they are showed in the left panel of Fig. 1.…”

“…These results have been independently obtained with two different staggered fermion actions (2stout and HISQ): the agreement between the two is a fundamental test of the validity of the discretized lattice method to solve QCD. Recently, first results for the equation of state obtained from other approaches to lattice QCD are becoming available: these include the gradient flow method [5], which extracts the thermodynamic quantities from the energy-momentum tensor, and twisted mass fermions [6]; the former are limited so far to the quenched approximation, the latter to two flavors with heavier-than-physical quark masses. [6,7] and the one of 2+1 flavor QCD [2].…”

Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow

“…Recently, a new method to calculate thermodynamic quantities has been proposed [8,9] on the basis of the gradient flow [10][11][12][13][14]. In this method, one makes use of the renormalized energy-momentum tensor (EMT) operator T µν constructed from the "flowed field" at nonzero flow-time t [8].…”

“…[9] for the first time with * kitazawa@phys.sci.osaka-u.ac.jp † takumi.iritani@riken.jp ‡ yuki@phys.sci.osaka-u.ac.jp § thatsuda@riken.jp ¶ hsuzuki@phys.kyushu-u.ac.jp β = 6/g 2 0 = 5.89-6.56 corresponding to the lattice spacing a = 0.041-0.11 fm and the spatial (temporal) size N s = 32 (N τ = 6, 8, 10). It was found that the ε and p obtained by the gradient flow with small statistics can be comparable to those obtained by the integral method with high statistics.…”

Using Wilson flow to study the SU(3) deconfinement transition

“…On the other hand, for thermal physics we require the smearing radius √ 8t ≪ 1/T . A window of t satisfying both conditions can be obtained for the kind of lattices commonly used for finite temperature physics [12].…”