Determination of latent heat at the finite temperature phase transition of SU(3) gauge theory

Ejiri, Shinji; Iwami, Ryo; Shirogane, Mizuki; Wakabayashi, Naoki; Kanaya, K.; Kitazawa, Masakiyo; Suzuki, Hiroshi; Taniguchi, Yusuke; Umeda, T.

doi:10.22323/1.256.0058

Cited by 6 publications

(10 citation statements)

References 7 publications

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“…All the numerical experiments on the basis of the representation (1.4) so far [12][13][14][15][16][17][18][19][20][21] have adopted this choice. On the other hand, in Ref.…”

Section: )mentioning

confidence: 99%

“…In actual lattice simulations, however, since t is limited as t a 2 by the lattice spacing a, the t → 0 limit has to be obtained by the extrapolation from the range of t satisfying t a 2 ; this t → 0 extrapolation can be a source of systematic error. By employing this gradient-flow representation of the EMT, expectation values and correlation functions of the EMT have been computed to study various physical questions [12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamics in quenched QCD: energy–momentum tensor with two-loop order coefficients in the gradient-flow formalism

Iritani

Kitazawa

Suzuki

et al. 2019

Progress of Theoretical and Experimental Physics

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Recently, Harlander et al. [Eur. Phys. J. C 78, 944 (2018)] have computed the twoloop order (i.e., NNLO) coefficients in the gradient-flow representation of the energymomentum tensor (EMT) in vector-like gauge theories. In this paper, we study the effect of the two-loop order corrections (and the three-loop order correction for the trace part of the EMT, which is available through the trace anomaly) on the lattice computation of thermodynamic quantities in quenched QCD. The use of the two-loop order coefficients generally reduces the t dependence of the expectation values of the EMT in the gradient-flow representation, where t is the flow time. With the use of the two-loop order coefficients, therefore, the t → 0 extrapolation becomes less sensitive to the fit function, the fit range, and the choice of the renormalization scale; the systematic error associated with these factors is considerably reduced.

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“…All the numerical experiments on the basis of the representation (1.4) so far [12][13][14][15][16][17][18][19][20][21] have adopted this choice. On the other hand, in Ref.…”

Section: )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermodynamics in quenched QCD: energy–momentum tensor with two-loop order coefficients in the gradient-flow formalism

Iritani

Kitazawa

Suzuki

et al. 2019

Progress of Theoretical and Experimental Physics

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“…On the basis of LHMC, results for the latent heat of a pure SU(3) Yang-Mills theory at criticality have been firstly reported here (see subsection 2.6, see also [35]). …”

Section: Extended Cumulant Expansion For Complex Action Systemsmentioning

confidence: 80%

Density of states

Langfeld¹

2017

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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Although Monte Carlo calculations using Importance Sampling have matured into the most widely employed method for determining first principle results in QCD, they spectacularly fail for theories with a sign problem or for which certain rare configurations play an important role. Non-Markovian Random walks, based upon iterative refinements of the density-of-states, overcome such overlap problems. I will review the Linear Logarithmic Relaxation (LLR) method and, in particular, focus onto ergodicity and exponential error suppression. Applications include the high-state Potts model, SU(2) and SU(3) Yang-Mills theories as well as a quantum field theory with a strong sign problem: QCD at finite densities of heavy quarks. 34th annual International Symposium on Lattice Field Theory

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“…In lattice simulation, we measure the flowed operators Õi,µν nonperturbatively and then multiply the perturbative coefficients ci (t) to obtain the EMT. Many lattice simulations of the EMT with the SFtX method were performed [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] and its usefulness has been confirmed.…”

Section: Introductionmentioning

confidence: 99%

$t \to 0$ extrapolation function in SF$t$X method for the energy-momentum tensor

Suzuki¹,

Takaura²

2021

Preprint

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We theoretically clarify the functional form to be used in t → 0 extrapolation in the small flow time expansion (SFtX) method for the energy-momentum tensor (EMT), which facilitates lattice simulation of the EMT based on the gradient flow. We argue that in the t → 0 extrapolation analysis, lattice data should be fitted by a power function in g(µ(t)), the flow time dependent running coupling, where the power is determined by the perturbation order we consider. From actual lattice data, we confirm the validity of the extrapolation function. Using the new extrapolation function, we present updated lattice results for thermodynamics quantities in quenched QCD; our results are consistent with the previous study [arXiv:1812.06444] but we obtain smaller errors due to reduction of systematic errors.

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Determination of latent heat at the finite temperature phase transition of SU(3) gauge theory

Cited by 6 publications

References 7 publications

Thermodynamics in quenched QCD: energy–momentum tensor with two-loop order coefficients in the gradient-flow formalism

Thermodynamics in quenched QCD: energy–momentum tensor with two-loop order coefficients in the gradient-flow formalism

Density of states

$t \to 0$ extrapolation function in SF$t$X method for the energy-momentum tensor

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