Equation of state near the first order phase transition point of SU(3) gauge theory using gradient flow

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

doi:10.22323/1.334.0164

Cited by 4 publications

(4 citation statements)

References 8 publications

(18 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The magnetic monopole condensate acts as an order parameter which signals the deconfinement phase transition, i.e., φ vanishes for high temperature T > T d signaling the deconfinement phase transition and is associated to the restoration of magnetic symmetry. The transition is discontinuous and the order is first order which is consistent with the Landau theory of phase transition and lattice gauge theory [31][32][33]. The deconfinement transition temperature has been extracted at 0.243GeV, 0.210GeV, 0.170GeV and 0.135GeV for the coupling 0.22, 0.23, 0.24 and 0.25 respectively in the S U(3) dual QCD formulation.…”

Section: Discussionsupporting

confidence: 68%

A non-perturbative approach to the study of confinement-deconfinement phase transition in S U(3) dual QCD formulation

Punetha,

Chandola

2019

Preprint

View full text Add to dashboard Cite

We provide an analytical derivation of the confinement deconfinement phase transition to QCD in the pure gluon sector at finite temperature within the framework of S U(3) dual QCD formulation. The mechanism of color confinement has been explained by adopting magnetic symmetry to extract magnetic monopoles in a gauge invariant way and produce magnetic condensation of S U(3) dual QCD vacuum which guarantees the dual Meissner effect. The deconfinement phase transition has been described by constructing the effective potential at finite temperature in the imaginary time formalism. The magnetic monopole condensate acts as an order parameter for both the confinement deconfinement phase and has been observed to be associated with the appearance/disappearance of magnetic monopole condensate. The evidence of the confinement deconfinement phase transition is further confirmed by the appearance/disappearance of the dual Meissner effect and the existence/breaking of flux tube with temperature. The gauge-invariant vector and scalar glueball masses at finite temperature have been obtained from the minimization of the effective potential at finite temperature which seems to demonstrate a first order deconfinement phase transition associated with the restoration of magnetic symmetry.

show abstract

Section: Discussionsupporting

confidence: 68%

A non-perturbative approach to the study of confinement-deconfinement phase transition in S U(3) dual QCD formulation

Punetha,

Chandola

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…We are attempting to extend applications of the SFtX method in various directions: thermodynamics of 2 þ 1 flavor QCD at the physical point [27,40], shear and bulk viscosities from two-point correlation functions of the energy-momentum tensor [28], endpoint of first-order deconfining transition region in QCD near the quenched limit [41], PCAC quark masses [42], etc. The choice of the μ 0 -scale as well as higher order coefficients may help improving these calculations too.…”

Section: Discussionmentioning

confidence: 99%

Nf=2+1 QCD thermodynamics with gradient flow using two-loop matching coefficients

et al. 2020

Self Cite

View full text Add to dashboard Cite

We study thermodynamic properties of N f ¼ 2 þ 1 QCD on the lattice adopting a nonperturbatively OðaÞ-improved Wilson quark action and the renormalization group-improved Iwasaki gauge action. To cope with the problems due to explicit violation of the Poincaré and chiral symmetries, we apply the small flow-time expansion (SFtX) method based on the gradient flow, which is a general method to correctly calculate any renormalized observables on the lattice. In this method, the matching coefficients in front of operators in the small flow-time expansion are calculated by perturbation theory thanks to the asymptotic freedom around the small flow-time limit. In a previous study using one-loop matching coefficients, we found that the SFtX method works well for the equation of state extracted from diagonal components of the energy-momentum tensor and for the chiral condensates and susceptibilities. In this paper, we study the effect of two-loop matching coefficients which have been calculated by Harlander et al. recently. We also test the influence of the renormalization scale in the SFtX method. We find that, by adopting the μ 0 renormalization scale of Harlander et al. instead of the conventional μ d ¼ 1= ffiffiffiffi 8t p scale, the linear behavior at large flow-times is improved so that we can perform the t → 0 extrapolation of the SFtX method more confidently. In the calculation of the two-loop matching coefficients by Harlander et al., the equation of motion for quark fields was used. For the entropy density in which the equation of motion has no effects, we find that the results using the two-loop coefficients agree well with those using one-loop coefficients. On the other hand, for the trace anomaly which is affected by the equation of motion, we find discrepancies between the one-and two-loop results at high temperatures. By comparing the results of one-loop coefficients with and without using the equation of motion, the main origin of the discrepancies is suggested to be attributed to contamination of OððaTÞ 2 Þ ¼ Oð1=N 2 t Þ discretization errors in the equation of motion at N t ≲ 10.

show abstract

“…We are attempting to extend applications of the SFtX method in various directions: thermodynamics of 2+ 1 flavor QCD at the physical point [27,40], shear and bulk viscosities from two-point correlation functions of the energy-momentum tensor [28], end-point of firstorder deconfining transition region in QCD near the quenched limit [41], PCAC quark masses [42], etc. The choice of the µ 0 -scale as well as higher order coefficients may help improving these calculations too.…”

Section: Discussionmentioning

confidence: 99%

Nf=2+1 QCD thermodynamics with gradient flow using two-loop matching coefficients

Taniguchi,

Ejiri,

Kanaya

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

We study thermodynamic properties of N f = 2 + 1 QCD on the lattice adopting a nonperturbatively O(a)-improved Wilson quark action and the renormalization group-improved Iwasaki gauge action. To cope with the problems due to explicit violation of the Poincaré and chiral symmetries, we apply the Small Flow-time eXpansion (SFtX) method based on the gradient flow, which is a general method to correctly calculate any renormalized observables on the lattice. In this method, the matching coefficients in front of operators in the small flow-time expansion are calculated by perturbation theory thanks to the asymptotic freedom around the small flow-time limit. In a previous study using one-loop matching coefficients, we found that the SFtX method works well for the equation of state extracted from diagonal components of the energy-momentum tensor and for the chiral condensates and susceptibilities. In this paper, we study the effect of two-loop matching coefficients which have been calculated by Harlander et al. recently. We also test the influence of the renormalization scale in the SFtX method. We find that, by adopting the µ 0 renormalization scale of Harlander et al. instead of the conventional µ d = 1/ √ 8t scale, the linear behavior at large flow-times is improved so that we can perform the t → 0 extrapolation of the SFtX method more confidently. In the calculation of the two-loop matching coefficients by Harlander et al., the equa-*

show abstract

Equation of state near the first order phase transition point of SU(3) gauge theory using gradient flow

Cited by 4 publications

References 8 publications

A non-perturbative approach to the study of confinement-deconfinement phase transition in S U(3) dual QCD formulation

A non-perturbative approach to the study of confinement-deconfinement phase transition in S U(3) dual QCD formulation

Nf=2+1 QCD thermodynamics with gradient flow using two-loop matching coefficients

Nf=2+1 QCD thermodynamics with gradient flow using two-loop matching coefficients

Contact Info

Product

Resources

About