Anisotropic pressure induced by finite-size effects in SU(3) Yang-Mills theory

Kitazawa, Masakiyo; Mogliacci, Sylvain; Kolbé, Isobel; Horowitz, W. A.

doi:10.1103/physrevd.99.094507

Cited by 39 publications

(25 citation statements)

References 79 publications

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“…The coefficients 𝑐 𝑛 (𝑡) are finite even without operator renormalization. They have been evaluated through NNLO [29,30,37] and used to study thermodynamics of QCD [32,[38][39][40][41].…”

Section: Energy-momentum Tensormentioning

confidence: 99%

The gradient flow at higher orders in perturbation theory

Harlander¹

2021

Preprint

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Various results for higher-order perturbative calculations in the gradient-flow formalism are reviewed, including the gradient-flow beta function and the small-flow-time expansion of the hadronic vacuum polarization and the energy-momentum tensor. In addition, the strategy of regions is outlined in order to obtain systematic expansions of gradient-flow integrals, for example at large and small flow times.

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Section: Energy-momentum Tensormentioning

confidence: 99%

The gradient flow at higher orders in perturbation theory

Harlander¹

2021

Preprint

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“…Such a setup will be studied in future lattice simulations by using approaches similar to Refs. [66,67].…”

Section: B Finite-volume Effectmentioning

confidence: 99%

“…Such a situation will also be approximately realized in lattice QCD simulations (e.g., see Refs. [62][63][64][65][66][67] as simulations for nonperturbative vacua such as Yang-Mills vacua). Thus, finite-volume effects for D mesons will be also useful as a hadronic observable of the Casimir effect for the chiral condensate.…”

Section: Introductionmentioning

confidence: 99%

D mesons as a probe of Casimir effect for chiral symmetry breaking

et al. 2019

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We propose D mesons as probes to investigate finite-volume effects for chiral symmetry breaking at zero and finite temperatures. By using the 2 + 1-flavor linear sigma model with constituent light quarks, we analyze the Casimir effects for the σ mean fields; the chiral symmetry is rapidly restored by the antiperiodic boundary for light quarks, and the chiral symmetry breaking is catalyzed by the periodic boundary. We also show the phase diagram of the σ mean fields on the volume and temperature plane. For D mesons, we employ an effective model based on the chiral-partner structure, in which the volume dependence of D mesons is induced by the σ mean fields. We find that Ds mesons are less sensitive to finite volume than D mesons, which is caused by the insensitivity of σs mean fields. An anomalous mass shift of D mesons at high temperature with the periodic boundary will be useful in examinations with lattice QCD simulations. The dependence on the number of compactified spatial dimensions is also studied.

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“…Its application to the analysis of thermodynamics in SU(3) YM theory [7][8][9] and QCD with fermions [10,11] shows that this method defines the EMT operator properly and is effective in suppressing statistical errors in numerical simulations. The EMT operator defined in this method has been applied for the analysis of various systems [12][13][14][15]. We use this method for the measurement of 𝑇 𝜇𝜈 (𝑥) in this study.…”

Section: Introductionmentioning

confidence: 99%

Single static-quark system above $T_c$ investigated by energy-momentum tensor in SU(3) Yang-Mills theory

Kitazawa¹,

Yanagihara²,

Asakawa³

et al. 2021

Preprint

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We investigate the distribution of energy-momentum tensor (EMT) around a static quark in the deconfined phase of SU(3) Yang-Mills theory. The EMT defined through the gradient-flow formalism is used for the numerical analysis of the EMT distribution around the Polyakov loop with the continuum extrapolation. Using EMT, one can study the mechanical distortion of the color gauge field induced by the static charge. We find substantial separation in the absolute values of the EMT eigenvalues which is not observed in Maxwell theory. The separation grows as temperature is lowered toward the critical temperature. The lattice data also indicate the thermal screening at long distance and the perturbative behavior at short distance.

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Anisotropic pressure induced by finite-size effects in SU(3) Yang-Mills theory

Cited by 39 publications

References 79 publications

The gradient flow at higher orders in perturbation theory

The gradient flow at higher orders in perturbation theory

D mesons as a probe of Casimir effect for chiral symmetry breaking

Single static-quark system above $T_c$ investigated by energy-momentum tensor in SU(3) Yang-Mills theory

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