%0 Journal Article
%T Renormalization group improved pressure for hot and dense quark matter
%+ Laboratoire Charles Coulomb (L2C)
%A Kneur, Jean-Loïc
%A Pinto, Marcus Benghi
%A Restrepo, Tulio E.
%< avec comité de lecture
%@ 1550-7998
%J Physical Review D
%I American Physical Society
%V 104
%N 3
%P 034003
%8 2021
%D 2021
%Z 2101.08240
%R 10.1103/PhysRevD.104.034003
%K lattice
%K density
%K resummation
%K scale dependence
%K renormalization
%K finite temperature
%K hard thermal loop approximation
%K pressure
%K higher-order: 1
%K approximation: nonperturbative
%K quark: matter
%K quantum chromodynamics: perturbation theory
%K renormalization group: invariance
%Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]
%Z Physics [physics]/High Energy Physics - Lattice [hep-lat]
%Z Physics [physics]/Nuclear Theory [nucl-th]Journal articles
%X 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 and state-of-the-art higher orders of standard perturbative QCD (pQCD) and hard thermal loop perturbation theory (HTLpt). The RGOPT provides an all order resummed pressure in a well-defined approximation, exhibiting a drastically better remnant renormalization scale dependence than pQCD, thanks to built-in renormalization group invariance consistency. At NLO, upon simply adding to the RGOPT-resummed quark contributions the purely perturbative NLO glue contribution, our results show a remarkable agreement with ab initio lattice simulation data for temperatures <math display="inline"><mrow><mn>0.25</mn><mo>≲</mo><mi>T</mi><mo>≲</mo><mn>1</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></mrow></math>, with a remnant scale dependence drastically reduced as compared to HTLpt.
%G English
%2 https://hal.science/hal-03129450/document
%2 https://hal.science/hal-03129450/file/PhysRevD.104.034003.pdf
%L hal-03129450
%U https://hal.science/hal-03129450
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021