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The equilibrium thermodynamic properties of the SU(N) plasma at finite temperature are studied non-perturbatively in the large-N limit, via lattice simulations. We present high-precision numerical results for the pressure, trace of the…

High Energy Physics - Lattice · Physics 2009-12-14 Marco Panero

Through a detailed investigation of the $SU(3)$ gauge theory at finite temperature on lattices of various size we can control finite lattice cut-off effects in bulk thermodynamic quantities. We calculate the pressure and energy density of…

High Energy Physics - Lattice · Physics 2009-10-28 G. Boyd , J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Lütgemeier , B. Petersson

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 present a lattice study of the equation of state in Yang-Mills theory based on the exceptional G(2) gauge group. As is well-known, at zero temperature this theory shares many qualitative features with real-world QCD, including the…

High Energy Physics - Lattice · Physics 2015-03-16 Mattia Bruno , Michele Caselle , Marco Panero , Roberto Pellegrini

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

We calculate the energy gap (latent heat) and pressure gap between the hot and cold phases of the SU(3) gauge theory at the first order deconfining phase transition point. We perform simulations around the phase transition point with the…

The phase transition for SU(3) gauge field (without quarks) is considered. It is shown that the phase transition is due to the fact that at high temperatures the partition function should be calculated as for a gas of gluons, whereas at low…

High Energy Physics - Phenomenology · Physics 2012-11-22 Vladimir Dzhunushaliev

We perform euclidean strong coupling expansions for Yang Mills theory on the lattice at finite temperature. After setting up the formalism for general SU(N), we compute the first few terms of the series for the free energy density and the…

High Energy Physics - Lattice · Physics 2014-11-18 Jens Langelage , Gernot Münster , Owe Philipsen

We propose an analytical approach to SU(2) Yang-Mills thermodynamics. The existence of a macroscopic and rigid adjoint Higgs field, generated by dilute trivial-holonomy calorons at large temperature $T$ (electric phase), implies a twofold…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

Motivated by the recent high-precision lattice data on Yang-Mills equations of state, we propose an effective theory of SU(3) gluonic matter. The theory is constructed based on the center and scale symmetries and their dynamical breaking,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Chihiro Sasaki , Igor Mishustin , Krzysztof Redlich

A first-order, confinement/deconfinement phase transition appears in the finite temperature behavior of many non-Abelian gauge theories. These theories play an important role in proposals for completion of the Standard Model of particle…

High Energy Physics - Lattice · Physics 2026-04-10 Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino , Fabian Zierler

The thermodynamical properties of a pure Yang-Mills theory SU(N) is described by a gas of gluonic quasiparticles with temperature dependent mass $m(T)$ and a bag function $B(T).$ The analytic behavior of $m(T)$ and the pressure $p$ at high…

High Energy Physics - Phenomenology · Physics 2011-06-13 Francesco Giacosa

We study the latent heat and the pressure gap between the hot and cold phases at the first-order transition temperature $T=T_c$ of SU(3) Yang-Mills theory, using the small flow-time expansion (SF$t$X) method based on the gradient flow. We…

High Energy Physics - Lattice · Physics 2021-10-22 Kazuyuki Kanaya , Mizuki Shirogane , Shinji Ejiri , Ryo Iwami , Masakiyo Kitazawa , Hiroshi Suzuki , Yusuke Taniguchi , Takashi Umeda

We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU(3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off…

High Energy Physics - Phenomenology · Physics 2011-04-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

We study latent heat and the pressure gap between the hot and cold phases at the first-order deconfining phase transition temperature of the SU(3) Yang-Mills theory. Performing simulations on lattices with various spatial volumes and…

High Energy Physics - Lattice · Physics 2021-02-03 Mizuki Shirogane , Shinji Ejiri , Ryo Iwami , Kazuyuki Kanaya , Masakiyo Kitazawa , Hiroshi Suzuki , Yusuke Taniguchi , Takashi Umeda

We study the thermodynamics of SU(N_c) pure gauge theories for N_c=3, 4 and 6. The continuum and thermodynamic limits of bulk quantities such as the pressure, energy density and the entropy density are taken by using several different…

High Energy Physics - Lattice · Physics 2010-12-24 Saumen Datta , Sourendu Gupta

An analytical and inductive approach to hot SU(N) Yang-Mills dynamics is developed. For N=2,3 pressure and energy density are pointwise compared with lattice data.

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Hofmann

We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the…

High Energy Physics - Phenomenology · Physics 2013-02-01 Chihiro Sasaki , Krzysztof Redlich

We calculate the energy gap (latent heat) and pressure gap between the hot and cold phases of the SU(3) gauge theory at the first order deconfining phase transition point. We perform simulations around the phase transition point with the…

High Energy Physics - Lattice · Physics 2016-07-27 Mizuki Shirogane , Shinji Ejiri , Ryo Iwami , Kazuyuki Kanaya , Masakiyo Kitazawa

We argue that, within the realm of gauge-gravity duality, for a large class of systems in a steady-state there exists an effective thermodynamic description. This description comes equipped with an effective temperature and a free energy,…

High Energy Physics - Theory · Physics 2015-07-06 Arnab Kundu