scholarly journals Equation of state in (2+1)-flavor QCD at physical point with improved Wilson fermion action using gradient flow

2018 ◽  
Vol 175 ◽  
pp. 07023 ◽  
Author(s):  
Kazuyuki Kanaya ◽  
Shinji Ejiri ◽  
Ryo Iwami ◽  
Masakiyo Kitazawa ◽  
Hiroshi Suzuki ◽  
...  

We study the energy-momentum tensor and the equation of state as well as the chiral condensate in (2+1)-flavor QCD at the physical point applying the method of Makino and Suzuki based on the gradient flow. We adopt a nonperturbatively O(a)- improved Wilson quark action and the renormalization group-improved Iwasaki gauge action. At Lattice 2016, we have presented our preliminary results of our study in (2+1)- flavor QCD at a heavy u; d quark mass point. We now extend the study to the physical point and perform finite-temperature simulations in the range T ≃ 155.544 MeV (Nt = 4-14 including odd Nt’s) at a ≃ 0:09 fm. We show our final results of the heavy QCD study and present some preliminary results obtained at the physical point so far.

2018 ◽  
Vol 175 ◽  
pp. 07013 ◽  
Author(s):  
Yusuke Taniguchi ◽  
Shinji Ejiri ◽  
Kazuyuki Kanaya ◽  
Masakiyo Kitazawa ◽  
Asobu Suzuki ◽  
...  

We measure correlation functions of the nonperturbatively renormalized energy-momentum tensor in Nf = 2 + 1 full QCD at finite temperature by applying the gradient flow method both to the gauge and quark fields. Our main interest is to study the conservation law of the energy-momentum tensor and to test whether the linear response relation is properly realized for the entropy density. By using the linear response relation we calculate the specific heat from the correlation function. We adopt the nonperturba-tively improved Wilson fermion and Iwasaki gauge action at a fine lattice spacing = 0:07 fm. In this paper the temperature is limited to a single value T ≃ 232 MeV. The u, d quark mass is rather heavy with mπ=mρ ≃ 0:63 while the s quark mass is set to approximately its physical value.


2016 ◽  
Vol 94 (11) ◽  
Author(s):  
Masakiyo Kitazawa ◽  
Takumi Iritani ◽  
Masayuki Asakawa ◽  
Tetsuo Hatsuda ◽  
Hiroshi Suzuki

2018 ◽  
Vol 175 ◽  
pp. 04008 ◽  
Author(s):  
Sinya Aoki ◽  
Guido Cossu ◽  
Hidenori Fukaya ◽  
Shoji Hashimoto ◽  
Takashi Kaneko

We compute the topological susceptibility Xt of 2+1-flavor lattice QCD with dynamical Möbius domain-wall fermions, whose residual mass is kept at 1 MeV or smaller. In our analysis, we focus on the fluctuation of the topological charge density in a “slab” sub-volume of the simulated lattice, as proposed by Bietenholz et al. The quark mass dependence of our results agrees well with the prediction of the chiral perturbation theory, from which the chiral condensate is extracted. Combining the results for the pion mass Mπ and decay constant Fπ, we obtain Xt = 0.227(02)(11)M2πF2π at the physical point, where the first error is statistical and the second is systematic.


2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Robert V. Harlander ◽  
Yannick Kluth ◽  
Fabian Lange

Two typos in Ref. 1 are corrected.


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