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Related papers: Gluon Thermodynamics at Intermediate Coupling

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We put forward a continuum approach for computing finite temperature correlation functions in Yang-Mills theory. This is done in a functional renormalisation group setting which allows for the construction of purely thermal RG-flows. This…

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

Perturbation theory for non-abelian gauge theories at finite temperature is plagued by infrared divergences which are caused by magnetic soft modes ~g^2T, corresponding to gluon fields of a 3d Yang-Mills theory. While the divergences can be…

High Energy Physics - Phenomenology · Physics 2011-07-14 Owe Philipsen , Daniel Bieletzki , York Schroder

We calculate the resummed perturbative free energy of ${\cal N}=4$ supersymmetric Yang-Mills in four spacetime dimensions ($\text{SYM}_{4,4}$) through second order in the 't Hooft coupling $\lambda$ at finite temperature and zero chemical…

High Energy Physics - Theory · Physics 2021-11-25 Qianqian Du , Michael Strickland , Ubaid Tantary

The poor convergence of quantum field theory at finite temperature has been one of the main obstacles in the practical applications of thermal QCD for decades. Here we briefly review the progress of hard-thermal-loop perturbation theory…

High Energy Physics - Phenomenology · Physics 2012-04-03 Nan Su

We calculate the pressure for pure-glue QCD at high temperature to two-loop order using hard-thermal-loop (HTL) perturbation theory. At this order, all the ultraviolet divergences can be absorbed into renormalizations of the vacuum energy…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jens O. Andersen , Eric Braaten , Emmanuel Petitgirard , Michael Strickland

We propose an effective theory of SU(3) gluonic matter where interactions between color-electric and color-magnetic gluons are constrained by the center and scale symmetries. Through matching to the dimensionally-reduced magnetic theories,…

High Energy Physics - Phenomenology · Physics 2015-06-18 Chihiro Sasaki

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…

High Energy Physics - Lattice · Physics 2015-09-07 Masayuki Asakawa , Tetsuo Hatsuda , Etsuko Itou , Masakiyo Kitazawa , Hiroshi Suzuki

The infrared behavior of Yang-Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson-Schwinger studies are discussed. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Axel Maas

The pressure of QCD admits at high temperatures a factorization into purely perturbative contributions from "hard" thermal momenta, and slowly convergent as well as non-perturbative contributions from "soft" thermal momenta. The latter can…

High Energy Physics - Lattice · Physics 2009-05-29 F. Di Renzo , M. Laine , Y. Schroder , C. Torrero

We compute the two-loop hard-thermal-loop (HTL) resummed thermodynamic potential for N=4 supersymmetric Yang-Mills (SYM). Our final result is manifestly gauge-invariant and was renormalized using only simple vacuum energy, gluon mass,…

High Energy Physics - Phenomenology · Physics 2020-09-10 Qianqian Du , Michael Strickland , Ubaid Tantary , Ben-Wei Zhang

In this review, we present the key aspects of modern thermal perturbation theory based on the hard thermal loop (HTL) approximation, including its theoretical foundations and applications within quantum electrodynamics (QED) and quantum…

High Energy Physics - Phenomenology · Physics 2024-09-20 Najmul Haque , Munshi G. Mustafa

Thermal field theory is indispensable for describing hot and dense systems. Yet perturbative calculations are often stymied by a host of energy scales, and tend to converge slowly. This means that precise results require the apt use of…

High Energy Physics - Phenomenology · Physics 2023-04-20 Andreas Ekstedt

We calculate electric and magnetic masses of gluons between T = T_c and 6T_c using lattice QCD (quantum chromodynamics) in the quench approximation. We find that magnetic mass has finite values in this region, and the temperature dependence…

High Energy Physics - Lattice · Physics 2009-11-07 A. Nakamura , I. Pushkina , T. Saito , S. Sakai

We argue that low-energy gluodynamics can be explained in terms of semi-classical Yang-Mills solutions by demonstrating that lattice gluon correlation functions fit to instanton liquid predictions for low energies and, after cooling, in the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Le Yaouanc , J. Rodríguez-Quintero

We give a direct path-integral calculation of the partition function for pure 3+1 dimensional U(N) Yang-Mills theory at large N on a small three-sphere, up to two-loop order in perturbation theory. From this, we calculate the one-loop shift…

High Energy Physics - Theory · Physics 2008-11-26 Ofer Aharony , Joseph Marsano , Mark Van Raamsdonk

We calculate the free energy of a hot gluon plasma to leading order in hard-thermal-loop perturbation theory. Effects associated with screening, gluon quasiparticles, and Landau damping are resummed to all orders. The ultraviolet…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jens O. Andersen , Eric Braaten , Michael Strickland

The equation of state of $SU(3)$ Yang-Mills theory is investigated in the framework of a moving reference frame. Results for the entropy density, the pressure, the energy density, and the trace anomaly are presented for temperatures ranging…

High Energy Physics - Lattice · Physics 2016-12-08 Leonardo Giusti , Michele Pepe

The high-temperature phase of Yang-Mills theory in Landau gauge is studied using Dyson-Schwinger equations. The propagators of the gluon and the Faddeev-Popov ghosts are obtained at finite and infinite temperature, partially analytically.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Axel Maas

We study, in the imaginary-time formalism, the high temperature behavior of n-point thermal loops in static Yang-Mills and gravitational fields. We show that in this regime, any hard thermal loop gives the same leading contribution as the…

High Energy Physics - Theory · Physics 2011-11-10 J. Frenkel , S. H. Pereira , N. Takahashi

We compute non-perturbative gluon spectral functions at finite temperature in quenched QCD with the maximum entropy method. We also provide a closed loop equation for the spectral function of the energy-momentum tensor in terms of the gluon…

High Energy Physics - Phenomenology · Physics 2014-11-11 Michael Haas , Leonard Fister , Jan M. Pawlowski