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The quark contribution to the free energy of a hot quark-gluon plasma is calculated to leading order in hard-thermal-loop (HTL) perturbation theory. This method selectively resums higher order corrections associated with plasma effects,…

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

We perform a detailed analysis of the predictions of resummed perturbation theory for the pressure and the second-, fourth-, and sixth-order diagonal quark number susceptibilities in a hot and dense quark-gluon plasma. First, we present an…

High Energy Physics - Phenomenology · Physics 2013-12-24 Sylvain Mogliacci , Jens O. Andersen , Michael Strickland , Nan Su , Aleksi Vuorinen

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

The thermodynamical potential of relativistic gauge theories can be consistently resummed in terms of HTL propagators, which is, without being restricted to it, exemplified for the case of hot QED. The nonperturbative resummation is gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Peshier

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

Naively resummed perturbative approximations to the thermodynamic functions of QCD do not converge at phenomenologically relevant temperatures. Here we review recent results of a three-loop hard-thermal-loop perturbation theory calculation…

High Energy Physics - Phenomenology · Physics 2011-05-27 Michael Strickland , Jens O. Andersen , Lars E. Leganger , Nan Su

Starting from a nonperturbative expression for entropy and density obtained from $\Phi$-derivable two-loop approximations to the thermodynamic potential, a quasiparticle model for the thermodynamics of QCD can be developed which…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Rebhan

In order to investigate the systematics of the loop expansion in high temperature gauge theories beyond the leading order hard thermal loop (HTL) approximation, we calculate the two-loop electron proper self-energy in high temperature QED.…

High Energy Physics - Phenomenology · Physics 2010-04-06 Emil Mottola , Zsolt Szep

It has been known for some time that the entropy of hot QCD is well reproduced by weak coupling techniques. These do not identify with perturbation theory, known to have poor convergence properties, but involve resumming the physics of hard…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jean-Paul Blaizot , Andreas Ipp , Anton Rebhan , Urko Reinosa

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

High Energy Physics - Phenomenology · Physics 2016-09-06 Jens O. Andersen , Eric Braaten , Michael Strickland

These lectures give an introduction to thermal perturbation theory, hard thermal loops, and their use in a nonperturbative, approximately self-consistent resummation of the thermodynamical potentials of quantum chromodynamics.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Rebhan

High-temperature resummed perturbation theory is plagued by poor convergence properties. The problem appears for theories with bosonic field content such as QCD, QED or scalar theories. We calculate the pressure as well as other…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. Berges , Sz. Borsanyi , U. Reinosa , J. Serreau

In this proceedings we present a state-of-the-art method of calculating thermodynamic potential at finite temperature and finite chemical potential, using Hard Thermal Loop perturbation theory (HTLpt) up to next-to-next-leading-order…

High Energy Physics - Phenomenology · Physics 2016-03-03 Aritra Bandyopadhyay , Najmul Haque , Munshi G. Mustafa , Michael Strickland , Nan Su

We review the proposal to resum the physics of hard thermal loops in the thermodynamics of the quark-gluon plasma through nonperturbative expressions for entropy and density obtained from a Phi-derivable two-loop approximation. A comparison…

High Energy Physics - Phenomenology · Physics 2017-08-23 Anton Rebhan

Based on the external perturbation that disturbs the system only slightly from its equilibrium position we make the Taylor expansion of the pressure of a quark gas. It turns out that the first term was used in the literature to construct a…

High Energy Physics - Phenomenology · Physics 2011-09-19 Najmul Haque , Munshi G. Mustafa

We calculate the thermodynamic functions of a quark-gluon plasma for general N_c and N_f to three-loop order using hard-thermal-loop perturbation theory. At this order, all the ultraviolet divergences can be absorbed into renormalizations…

High Energy Physics - Phenomenology · Physics 2011-03-07 Jens O. Andersen , Lars E. Leganger , Michael Strickland , Nan Su

We calculate the two-loop pressure of a plasma of quarks and gluons at finite temperature and chemical potential using the hard thermal loop perturbation theory (HTLpt) reorganization of finite temperature/density quantum chromodynamics.…

High Energy Physics - Phenomenology · Physics 2013-05-10 Najmul Haque , Munshi G. Mustafa , Michael Strickland

We compare our previously proposed hard-thermal-loop (HTL) resummed calculation of quark number susceptibilities using a self-consistent two-loop approximation to the quark density with a recent calculation of the same quantity at the…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. -P. Blaizot , E. Iancu , A. Rebhan

This paper is a slightly modified version of the introductory part of a doctoral dissertation that contained also three original articles, hep-ph/0212283, hep-ph/0305183 and hep-ph/0311323. Our purpose is to review the history and present…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Vuorinen

We present compact expressions for the power corrections to the hard thermal loop (HTL) Lagrangian of QED in $d$ space dimensions. These are corrections of order $(L/T)^2$, valid for momenta $L \ll T$, where $T$ is the temperature. In the…

High Energy Physics - Phenomenology · Physics 2018-03-14 Stefano Carignano , Cristina Manuel , Joan Soto