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A nonperturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson flow to eliminate divergent contact terms makes it a practical method for…

The energy-momentum tensor (EMT) is the conserved current corresponding to space-time translation symmetry. Its applications are remarkably diverse, ranging from the thermodynamics to the calculation of transport coefficients. While the EMT…

High Energy Physics - Lattice · Physics 2026-04-03 Pavan , Olaf Kaczmarek , Guy D. Moore , Christian Schmidt

The total momentum of a thermodynamically closed system is unique, as is the total energy. Nevertheless, there is continuing confusion concerning the correct form of the momentum and the energy-momentum tensor for an electromagnetic field…

Optics · Physics 2015-02-12 Michael E. Crenshaw , Thomas B. Bahder

We estimate the thermoelectric response, namely, the Seebeck and Nernst coefficients of a hot and deconfined plasma of quarks and gluons, created post ultrarelativistic heavy ion collisions in the presence of a weak, homogeneous background…

Nuclear Theory · Physics 2021-10-29 Debarshi Dey , Binoy Krishna Patra

QCD thermodynamics is considered using Wilson fermions in the fixed scale approach. The temperature dependence of the renormalized chiral condensate, quark number susceptibility and Polyakov loop is measured at four lattice spacings…

High Energy Physics - Lattice · Physics 2015-06-05 S. Borsanyi , S. Durr , Z. Fodor , C. Hoelbling , S. D. Katz , S. Krieg , D. Nogradi , B. C. Toth , N. Trombitas , K. K. Szabo

We derive thermal QCD sum rules for the correlation function of two vector currents in the rho-meson channel. It takes into account the leading non-perturbative corrections from the additional operators, which appear due to the breakdown of…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Mallik , Krishnendu Mukherjee

We report on the progress of understanding spatial correlation functions in high temperature QCD. We study isovector meson operators in $N_f=2$ QCD using domain-wall fermions on lattices of $N_s=32$ and different quark masses. It has…

High Energy Physics - Lattice · Physics 2018-10-08 C. Rohrhofer , Y. Aoki , G. Cossu , L. Ya. Glozman , S. Hashimoto , S. Prelovsek

The Equation of State of Quantum Chromodynamics with $N_f=3$ flavours is determined non-perturbatively with a precision of about $0.5\%-1.0\%$ in the range of temperatures between 3 GeV and 165 GeV. The computation is carried out by…

High Energy Physics - Lattice · Physics 2025-10-01 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

We derive an expression for the energy-momentum tensor in the discrete lattice formulation of pure glue QCD. The resulting expression satisfies the continuity equation for energy conservation up to numerical errors with a symmetric…

Nuclear Theory · Physics 2023-12-06 Kirill Boguslavski , Tuomas Lappi , Jarkko Peuron , Pragya Singh

Two-nucleon momentum correlation functions are investigated for different single thermal sources at given initial temperature $(T)$ and density $(\rho)$. To this end, the space-time evolutions of various single excited nuclei at $T$ $= 1 -…

Nuclear Theory · Physics 2023-01-10 Ting-Ting Wang , Yu-Gang Ma , De-Qing Fang , Huan-Ling Liu

We use an auxiliary field construction to discuss the hard thermal loop effective action associated with massless thermal SU(N) QCD interacting with a weak gravitational field. It is demonstrated that the previous attempt to derive this…

High Energy Physics - Theory · Physics 2009-10-28 E. A. Gaffney

We study the thermodynamics of QCD system under external magnetic field via the 2+1 flavor Polyakov-loop quark-meson model. To incorporate quantum and thermal fluctuations, the functional renormalization group approach is implemented in our…

High Energy Physics - Phenomenology · Physics 2019-05-02 Xiang Li , Wei-jie Fu , Yu-xin Liu

We explore the continuum limit $a\rightarrow 0$ of meson correlation functions at finite temperature. In detail we analyze finite volume and lattice cut-off effects in view of possible consequences for continuum physics. We perform…

High Energy Physics - Lattice · Physics 2015-03-18 Anthony Francis , Frithjof Karsch

Correlators of magnetic and electric field energy density are investigated for SU($N_c$) gauge theory at high temperatures $T$. At separations $z\leq 2/T$ the correlators are shown to be dominated by a power--law behavior even for finite…

Nuclear Theory · Physics 2009-10-09 Dirk H. Rischke , Miklos Gyulassy

A new thermodynamic state function is introduced to describe the thermodynamics relevant for the mean transverse momentum fluctuations of charged particles in heavy-ion collisions, which allows us to compute the temperature fluctuations of…

High Energy Physics - Phenomenology · Physics 2026-04-24 Jinhui Chen , Wei-jie Fu , Shi Yin , Chunjian Zhang

Recently, Harlander et al.\ [Eur.\ Phys.\ J.\ C {\bf 78}, 944 (2018)] have computed the two-loop order (i.e., NNLO) coefficients in the gradient-flow representation of the energy--momentum tensor (EMT) in vector-like gauge theories. In this…

High Energy Physics - Lattice · Physics 2019-12-06 Takumi Iritani , Masakiyo Kitazawa , Hiroshi Suzuki , Hiromasa Takaura

We perform various lattice numerical analyses with the energy-momentum tensor (EMT) defined through the gradient flow. We explore the spatial distribution of the stress tensor in static quark-anti-quark systems and thermodynamic quantities…

High Energy Physics - Lattice · Physics 2019-01-23 Masakiyo Kitazawa

In this paper we analyze the expectation value of the field squared and the energy-momentum tensor associated with a massive charged scalar quantum field with a nonzero chemical potential propagating in a high-dimensional compactified…

High Energy Physics - Theory · Physics 2023-02-21 W. Oliveira dos Santos , E. R. Bezerra de Mello

Quarkonium correlation functions at finite temperature were studied in a region of the quark mass for charmonia to bottomonia in quenched lattice QCD with $O(a)$-improved Wilson quarks. Our simulations were performed on large isotropic…

High Energy Physics - Lattice · Physics 2014-03-13 Hiroshi Ohno

A non-perturbative (np) method of Field Correlators (FCM) was applied to study QCD at temperatures above the deconfinement transition ($1<T/T_c<3,~T_c\sim0.16~GeV$) and nonzero baryon densities (baryon chemical potential $\mu_B<0.5~GeV$) in…

High Energy Physics - Phenomenology · Physics 2020-01-29 R. A. Abramchuk , M. A. Andreichikov , Z. V Khaidukov , Yu. A. Simonov