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The spatial distribution of the stress tensor around the quark--anti-quark ($Q\bar{Q}$) pair in SU(3) lattice gauge theory is studied. The Yang-Mills gradient flow plays a crucial role to make the stress tensor well-defined and derivable…

高能物理 - 格点 · 物理学 2019-01-14 Ryosuke Yanagihara , Takumi Iritani , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

In oder to investigate quark confinement, we give a new reformulation of the $SU(N)$ Yang-Mills theory on a lattice and present the results of the numerical simulations of the $SU(3)$ Yang-Mills theory on a lattice. The numerical…

高能物理 - 格点 · 物理学 2014-12-30 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We study the stress-tensor distribution around the flux tube in static quark and anti-quark systems based on the momentum conservation and the Abelian-Higgs (AH) model. We first investigate constraints on the stress-tensor distribution from…

高能物理 - 唯象学 · 物理学 2020-06-01 Ryosuke Yanagihara , Masakiyo Kitazawa

We explore the distribution of the energy momentum tensor (EMT) around quark--anti-quark and single quark at nonzero temperature in SU(3) Yang-Mills gauge theory by extending our previous study on the EMT distribution in static…

高能物理 - 格点 · 物理学 2019-12-11 Ryosuke Yanagihara , Takumi Iritani , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

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…

高能物理 - 格点 · 物理学 2021-12-01 Masakiyo Kitazawa , Ryosuke Yanagihara , Masayuki Asakawa , Tetsuo Hatsuda

The dual Meissner effect is the promising mechanism for quark confinement. We have proposed a new formulation of SU(N) Yang-Mills (YM) theory on a lattice, which can extract the dominant mode for quark confinement in the gauge independent…

高能物理 - 格点 · 物理学 2012-04-26 Akihiro Shibata , Kei-Ichi Kondo , Toru Shinohara

Energy momentum tensor (EMT) characterizes the response of the vacuum as well as the thermal medium under the color electromagnetic fields. We define the EMT by means of the gradient flow formalism and study its spatial distribution around…

高能物理 - 格点 · 物理学 2021-01-04 Ryosuke Yanagihara , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

We present a precise computation of the topological charge distribution in the $SU(3)$ Yang-Mills theory. It is carried out on the lattice with high statistics Monte Carlo simulations by employing the clover discretization of the field…

高能物理 - 格点 · 物理学 2014-10-31 Marco Cè , Cristian Consonni , Georg P. Engel , Leonardo Giusti

The stress-energy tensor of a quark moving through a strongly coupled N=4 supersymmetric Yang-Mills plasma is evaluated using gauge/string duality. The accuracy with which the resulting wake, in position space, is reproduced by…

高能物理 - 理论 · 物理学 2008-11-26 Paul M. Chesler , Laurence G. Yaffe

The potential between a static quark and antiquark in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from short to intermediate distances (0.05 fm < r < 0.8 fm). In the high…

高能物理 - 格点 · 物理学 2016-09-01 Silvia Necco

We extend a previous numerical study of SU(3) Yang-Mills theory in which we measured the spatial distribution of all components of the color fields surrounding a static quark-antiquark pair for a wide range of quark-antiquark separations,…

高能物理 - 格点 · 物理学 2020-07-15 M. Baker , P. Cea , V. Chelnokov , L. Cosmai , F. Cuteri , A. Papa

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ with anisotropic spatial volumes in Euclidean spacetime in lattice numerical simulations and an effective model. In…

高能物理 - 格点 · 物理学 2025-02-14 Masakiyo Kitazawa , Daisuke Fujii , Akihiro Iwanaka , Daiki Suenaga

We investigate the type of dual superconductivity responsible for quark confinement. For this purpose, we solve the field equations of the $U(1)$ gauge-scalar model to obtain the static vortex solution in the whole range without restricting…

高能物理 - 格点 · 物理学 2020-05-21 Shogo Nishino , Kei-Ichi Kondo , Akihiro Shibata , Takaaki Sasago , Seikou Kato

We compute the Euclidean correlators of the stress tensor in pure $SU(3)$ Yang-Mills theory at finite temperature at zero and finite spatial momenta with lattice simulations. We perform continuum extrapolations using $N_\tau=10,12,16,20$…

Local products of fields deformed by the so-called Yang--Mills gradient flow become renormalized composite operators. This fact has been utilized to construct a correctly normalized conserved energy--momentum tensor in the lattice…

高能物理 - 格点 · 物理学 2016-06-21 Hiroki Makino , Hiroshi Suzuki

We numerically simulate a non-Abelian lattice gauge theory in two spatial dimensions, with tensor networks (TN), up to intermediate sizes (>30 matter sites) well beyond exact diagonalization. We focus on the SU(2) Yang-Mills model in…

高能物理 - 格点 · 物理学 2024-07-15 Giovanni Cataldi , Giuseppe Magnifico , Pietro Silvi , Simone Montangero

We study the pressure anisotropy in anisotropic finite-size systems in SU(3) Yang-Mills theory at nonzero temperature. Lattice simulations are performed on lattices with anisotropic spatial volumes with periodic boundary conditions. The…

高能物理 - 格点 · 物理学 2019-06-05 Masakiyo Kitazawa , Sylvain Mogliacci , Isobel Kolbé , W. A. Horowitz

The dual superconductivity is a promising mechanism of quark confinement. In the preceding works, we have given a non-Abelian dual superconductivity picture for quark confinement, and demonstrated the numerical evidences on the lattice. In…

高能物理 - 格点 · 物理学 2019-08-20 Akihiro Shibata , Seikou Kato , Kei-Ichi Kondo

A novel method to study the bulk thermodynamics in lattice gauge theory is proposed on the basis of the Yang-Mills gradient flow with a fictitious time t. The energy density (epsilon) and the pressure (P) of SU(3) gauge theory at fixed…

高能物理 - 格点 · 物理学 2015-09-07 Masayuki Asakawa , Tetsuo Hatsuda , Etsuko Itou , Masakiyo Kitazawa , Hiroshi Suzuki

We study the parametrization of lattice spacing and thermodynamics of SU(3) gauge theory on the basis of the Yang-Mills gradient flow on fine lattices. The lattice spacing of the Wilson gauge action is determined over a wide range…

高能物理 - 格点 · 物理学 2015-11-18 Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda , Takumi Iritani , Etsuko Itou , Hiroshi Suzuki
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