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Related papers: Gluon Thermodynamics at Intermediate Coupling

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We use three-flavor chiral perturbation theory ($\chi$PT) to calculate the pressure, light and $s$-quark condensates of QCD in the confined phase at finite temperature to ${\cal O}(p^6)$ in the low-energy expansion. We also include…

High Energy Physics - Phenomenology · Physics 2023-01-18 Jens O. Andersen , Qing Yu , Hua Zhou

We calculate the third coefficient of the lattice $\beta$ function in pure Yang-Mills theory. We make use of a computer code for solving perturbation theory analytically on the lattice. We compute the divergent integrals by using a method…

High Energy Physics - Lattice · Physics 2009-10-28 B. Alles , A. Feo , H. Panagopoulos

The numerical results for the computed moduli of the irreducible three-loop contributions to the thermodynamical pressure of an SU(2) Yang-Mills theory in the effective theory for the deconfinning phase are explained in detail. Irreducible…

High Energy Physics - Theory · Physics 2009-05-13 Dariush Kaviani

We present in this work a generalization of the solution of Gorenstein and Yang for a consistent thermodynamics for systems with a temperature dependent Hamiltonian. We show that there is a large class of solutions, work out three…

Nuclear Theory · Physics 2010-03-26 F. G. Gardim , F. M. Steffens

A synthesis of Polyakov loop models of the deconfinement transition and quasiparticle models of gluon plasma thermodynamics leads to a class of models in which gluons move in a non-trivial Polyakov loop background. These models are…

High Energy Physics - Lattice · Physics 2009-11-10 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

We present numerical results obtained in a finite-temperature study of the Sp(4) Yang-Mills theory on the lattice. We study its first-order confinement/deconfinement phase transition, by reconstructing the density of states via the…

High Energy Physics - Lattice · Physics 2026-03-02 Fabian Zierler , Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

We propose a gauge-invariant and manifestly UV finite resummation of the physics of hard thermal/dense loops (HTL/HDL) in the thermodynamics of the quark-gluon plasma. The starting point is a simple, effectively one-loop expression for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. -P. Blaizot , E. Iancu , A. Rebhan

We provide numerical results for the running coupling in $SU(3)$ Yang-Mills theory as determined from an analysis of lattice two and three-point gluon correlation functions. The coupling is evaluated directly, from first principles, by…

High Energy Physics - Lattice · Physics 2007-05-23 D. S. Henty , C. Parrinello

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 compute ghost and gluon propagators of Yang-Mills theory in the Landau gauge at non-vanishing temperature within a functional renormalisation group setting. We construct purely thermal flows, that project onto thermal fluctuations only.…

High Energy Physics - Phenomenology · Physics 2011-12-23 Leonard Fister , Jan M. Pawlowski

We device an efficient book-keeping of excluded energy-sign and scattering-channel combinations for the loop four-momenta associated with massive quasi-particles, circulating in (connected) bubble diagrams subject to vertex constraints…

High Energy Physics - Theory · Physics 2017-07-21 Ingolf Bischer , Thierry Grandou , Ralf Hofmann

We calculate the quark contribution to the free energy of a hot quark-gluon plasma to two-loop order using hard-thermal-loop (HTL) perturbation theory. All ultraviolet divergences can be absorbed into renormalizations of the vacuum energy…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jens O. Andersen , Emmanuel Petitgirard , Michael Strickland

At low energies or temperatures, maximally supersymmetric Yang-Mills theory on $\mathbb R^{(t)}\times S^1$ with large $N$ gauge group $SU(N)$ and strong t'Hooft coupling is conjectured to be dual to the low energy dynamics of a collection…

High Energy Physics - Theory · Physics 2017-06-28 Oscar J. C. Dias , Jorge E. Santos , Benson Way

Centre-stabilised $SU(N)$ Yang-Mills theories on $\mathbb{R}^3 \times S^1$ are QCD-like theories that can be engineered to remain weakly-coupled at all energy scales by taking the $S^1$ circle length $L$ to be sufficiently small. In this…

High Energy Physics - Theory · Physics 2023-03-27 John Lai

We describe the energy distribution of hard gluons travelling through a dense quark-gluon plasma whose temperature increases linearly with time, within a probabilistic perturbative approach. The results were applied to the thermalization…

High Energy Physics - Phenomenology · Physics 2022-01-21 F. G. Ben , M. V. T. Machado

We present our current results from ongoing lattice investigations of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics. We focus on the thermal phase structure of this theory, which…

High Energy Physics - Lattice · Physics 2023-04-11 David Schaich , Raghav G. Jha , Anosh Joseph

At finite temperature the free energy density of ${\cal N}=4$ supersymmetric Yang-Mills can be calculated using resummed perturbation theory through the order $\lambda^{5/2}$. Effective field theory methods provide a useful alternative…

High Energy Physics - Theory · Physics 2022-05-20 Ubaid Tantary , Jens O. Andersen , Qianqian Du , Michael Strickland

We report on the perturbative computation of the 3d lattice Yang-Mills free energy to four loops by means of Numerical Stochastic Perturbation Theory. The known first and second orders have been correctly reproduced; the third and fourth…

High Energy Physics - Lattice · Physics 2009-11-10 F. Di Renzo , A. Mantovi , V. Miccio , Y. Schroder , C. Torrero

We give an analytical derivation of the confinement/deconfinement phase transition at finite temperature in the $SU(N)$ Yang-Mills theory in the $D$-dimensional space time for $D>2$. We elucidate what is the mechanism for quark confinement…

High Energy Physics - Theory · Physics 2015-09-30 Kei-Ichi Kondo

Yang-Mills theory is studied in three dimensions using the equations of motion of the $1$PI and $3$PI effective actions. The employed self-contained truncation includes the propagators, the three-point functions and the four-gluon vertex…

High Energy Physics - Theory · Physics 2016-06-08 Markus Q. Huber
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