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Related papers: A Modified Hard Thermal Loop Perturbation Theory

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In a previous paper (JHEP {\bf 05} (2014) 27), we calculated the three-loop thermodynamic potential of QCD at finite temperature $T$ and quark chemical potentials $\mu_q$ using the hard-thermal-loop perturbation theory (HTLpt)…

High Energy Physics - Phenomenology · Physics 2016-04-06 Jens O. Andersen , Najmul Haque , Munshi G. Mustafa , Michael Strickland

We discuss reorganizing finite temperature perturbation theory using hard-thermal-loop (HTL) perturbation theory in order to improve the convergence of successive perturbative approximations to the free energy of a gauge theory. We briefly…

High Energy Physics - Phenomenology · Physics 2010-11-01 Michael Strickland , Nan Su , Jens O. Andersen

This dissertation is devoted to the study of thermodynamics for quantum gauge theories. The poor convergence of quantum field theory at finite temperature has been the main obstacle in the practical applications of thermal QCD for decades.…

High Energy Physics - Phenomenology · Physics 2011-05-09 Nan Su

We use the recently obtained two-loop hard thermal loop perturbation theory thermodynamics functions of a plasma of quarks and gluons to compute the diagonal second- and fourth-order quark number susceptibilities. The two-loop hard thermal…

High Energy Physics - Phenomenology · Physics 2013-08-07 Najmul Haque , Munshi G. Mustafa , Michael Strickland

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 evaluate the second and fourth order quark number susceptibilities in hot QCD using two variations of resummed perturbation theory. On one hand, we carry out a one-loop calculation within hard-thermal-loop perturbation theory, and on the…

High Energy Physics - Phenomenology · Physics 2013-04-10 Jens O. Andersen , Sylvain Mogliacci , Nan Su , Aleksi Vuorinen

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

In HTL perturbation theory we obtain leading order quark number susceptibility as a response to an external disturbance, viz., chemical potential (\mu) that generates density fluctuation, which is related to the correlation function through…

High Energy Physics - Phenomenology · Physics 2011-09-06 Najmul Haque , Munshi G. Mustafa

The successive perturbative estimates of the pressure of QCD at high temperature T show no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting known results of an effective field theory which separates…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. -P. Blaizot , E. Iancu , A. Rebhan

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

The Hard Thermal Loop expansion, is an attractive theory, but it reveals difficulties when one uses it as a perturbative scheme. To illustrate this we use the HTL expansion to calculate the two loop corrections for soft virtual photons. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Haitham Zaraket

A recently developed variant of the so-called optimized perturbation theory (OPT), making it perturbatively consistent with renormalization group (RG) properties, RGOPT, was shown to drastically improve its convergence for zero temperature…

High Energy Physics - Phenomenology · Physics 2015-12-30 J. -L. Kneur , M. B. Pinto

Starting from the Phi-derivable approximation scheme at leading-loop order, the thermodynamical potential in a hot scalar theory, as well as in QED and QCD, is expressed in terms of hard thermal loop propagators. This nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andre Peshier

We apply the renormalization group optimized perturbation theory (RGOPT) to evaluate the quark contribution to the QCD pressure at finite temperatures and baryonic densities, at next-to-leading order (NLO). Our results are compared to NLO…

High Energy Physics - Phenomenology · Physics 2021-08-18 Jean-Loïc Kneur , Marcus Benghi Pinto , Tulio E. Restrepo

We perform a two-loop calculation in Light Cone Perturbation Theory (LCPT) to evaluate the next-to-leading order nonsinglet splitting function. Our calculation demonstrates the methodology and feasibility of performing higher order…

High Energy Physics - Phenomenology · Physics 2026-01-16 Tuomas Lappi , Risto Paatelainen , Mikko Seppälä

The thermal physics of a massless scalar field with a phi^4 interaction is studied within screened perturbation theory (SPT). In this method the perturbative expansion is reorganized by adding and subtracting a mass term in the lagrangian.…

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

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

The conventional weak-coupling expansion for the pressure of a hot plasma shows no sign of convergence unless the the coupling constant $g$ is tiny. In this talk, I discuss screened perturbation theory (SPT) which is a reorganization of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jens O. Andersen

Two recent attempts for overcoming the poor convergence of the perturbation expansion of the thermodynamic potentials of QCD are discussed: an HTL-adaption of ``screened perturbation theory'' and approximately self-consistent HTL…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Rebhan

The existing Chiral Perturbation Theory (ChPT) calculations at order $p^6$ are reviewed. The principles of ChPT and how they are used are introduced. The main part is a review of the two- and three-flavour full two-loop calculations and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens