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We study the thermal part of the energy density spatial correlator in the quark-gluon plasma. We describe its qualitative form at high temperatures. We then calculate it out to distances approx. 1.5/T in SU(3) gauge theory lattice…

High Energy Physics - Lattice · Physics 2009-11-13 Harvey B. Meyer

We perform a detailed computation of key quantities across the first-order deconfinement phase transition of the SU(3) Yang-Mills theory. Specifically, we calculate the entropy density, $s(T_c)/T_c^3$, on both sides of the transition and…

High Energy Physics - Lattice · Physics 2025-01-28 Leonardo Giusti , Mitsuaki Hirasawa , Michele Pepe , Luca Virzì

We present a high-precision lattice calculation of the equation of state in the confining phase of SU(2) Yang-Mills theory. We show that the results are described very well by a gas of massive, non-interacting glueballs, provided one…

High Energy Physics - Lattice · Physics 2017-10-31 Michele Caselle , Alessandro Nada , Marco Panero

We consider the two-point correlators of Yang-Mills theories at finite temperature in the Landau gauge. We employ a model for the corresponding Yang-Mills correlators based on the inclusion of an effective mass term for gluons. The latter…

High Energy Physics - Theory · Physics 2015-06-18 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

Shear viscosity of the gluon plasma in SU(3) YM theory is calculated nonperturbatively, within the stochastic vacuum model. The result for the ratio of the shear viscosity to the entropy density, proportional to the squared chromo-magnetic…

High Energy Physics - Phenomenology · Physics 2009-05-21 Dmitri Antonov

We determine the pure-gauge $\mathrm{SU}(3)$ topological susceptibility slope $\chi^\prime$, related to the next-to-leading-order term of the momentum expansion of the topological charge density 2-point correlator, from numerical lattice…

High Energy Physics - Lattice · Physics 2024-01-03 Claudio Bonanno

The effective potential approach for composite operators is generalized to non-zero temperature in order to derive the non-perturbative analytical equation of state for pure SU(3) Yang-Mills fields valid in the whole temperature range.…

High Energy Physics - Phenomenology · Physics 2014-04-18 V. Gogokhia , M. Vasúth

The strongly coupled phase of Yang-Mills plasma with arbitrary gauge group is studied in a $T$-matrix approach. The existence of lowest-lying glueballs, interpreted as bound states of two transverse gluons (quasi-particles in a many-body…

High Energy Physics - Phenomenology · Physics 2013-04-10 G. Lacroix , C. Semay , D. Cabrera , F. Buisseret

We propose a quasi-particle model to describe the lattice QCD equation of state for pure SU(3) gauge theory in its deconfined state, for $T \ge 1.5T_c$. The method involves mapping the interaction part of the equation of state to an…

Nuclear Theory · Physics 2009-11-05 Vinod Chandra , V. Ravishankar

We present high-precision lattice calculations of the thermodynamics of Yang-Mills theories with different gauge groups. In the confining phase, we show that the equation of state is described remarkably well by a gas of massive,…

High Energy Physics - Lattice · Physics 2015-10-06 Alessandro Nada

We report results of autocorrelation measurements in pure $SU(3)$ lattice gauge theory. The computations are performed on the {\sc convex spp1200} parallel platform within the {\sc canopy} programming environment. The focus of our analysis…

High Energy Physics - Lattice · Physics 2008-11-26 Terrence Draper , Constantine Nenkov , Mike Peardon

We investigate the thermal properties of $\mathrm{SU}(3)$ Yang-Mills theory across the deconfinement phase transition considering the framework of shifted boundary conditions in the temporal direction. By measuring the entropy density…

High Energy Physics - Lattice · Physics 2025-02-07 Leonardo Giusti , Mitsuaki Hirasawa , Michele Pepe , Luca Virzì

Using Standard Euclidean Monte Carlo techniques, we discuss in detail the extraction of the glueball masses of 4-dimensional SU(3) lattice gauge theory in the Hamiltonian limit, where the temporal lattice spacing is zero. By taking into…

High Energy Physics - Lattice · Physics 2008-11-26 Mushtaq Loan , Xiang-Qian Luo , Zhi-Huan Luo

We study SU(3) gluon electric and magnetic masses at finite temperatures using quenched lattice QCD on a $20^2 \times 32 \times 6$ lattice. We focus on temperature regions between $T=T_c$ and $6T_c$, which are realized in BNL Relativistic…

High Energy Physics - Lattice · Physics 2009-11-10 A. Nakamura , T. Saito , S. Sakai

The [dual] string tension of a spatial 't Hooft loop in the deconfined phase of Yang-Mills theory can be formulated as the tension of an interface separating different Z_N deconfined vacua. We review the 1-loop perturbative calculation of…

High Energy Physics - Lattice · Physics 2009-11-11 Philippe de Forcrand , David Noth

Euclidean strong coupling expansion of the partition function is applied to lattice Yang-Mills theory at finite temperature, i.e. for lattices with a compactified temporal direction. The expansions have a finite radius of convergence and…

High Energy Physics - Lattice · Physics 2010-12-23 J. Langelage , G. Münster , O. Philipsen

We present an accurate computation of the Equation of State of the SU(3) Yang-Mills theory using shifted boundary conditions in the temporal direction. In this framework, the entropy density s can be obtained in a simple way from the…

High Energy Physics - Lattice · Physics 2015-11-13 Leonardo Giusti , Michele Pepe

We report on our continued efforts to measure the glueball and meson spectra in SU($N$) Yang-Mills theory and QCD with the aim of extrapolating to the large-$N$ limit. In particular, we document the computation of the low-lying SU($6$)…

High Energy Physics - Lattice · Physics 2026-03-16 Andrea Falzetti , Matteo Lombardi , Mauro Lucio Papinutto , Francesco Scardino

The three gluon one particle irreducible function is investigated using lattice QCD simulations over a large region of momentum in the Landau gauge for four dimensional pure Yang-Mills equations and the SU(3) gauge group. The results favor…

High Energy Physics - Lattice · Physics 2016-10-12 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva

We present results from numerical lattice calculations of SU(4) Yang-Mills theory. This work has two goals: to determine the order of the finite temperature deconfinement transition on an $N_t = 6$ lattice and to study the string tensions…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew Wingate , Shigemi Ohta