# Renormalization group improved pressure for hot and dense quark matter

Abstract : 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 $0.25≲T≲1 GeV$, with a remnant scale dependence drastically reduced as compared to HTLpt.
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https://hal.archives-ouvertes.fr/hal-03129450
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Submitted on : Tuesday, February 2, 2021 - 9:06:53 PM
Last modification on : Friday, October 15, 2021 - 4:40:34 PM

### Citation

Jean-Loïc Kneur, Marcus Benghi Pinto, Tulio E. Restrepo. Renormalization group improved pressure for hot and dense quark matter. Physical Review D, American Physical Society, 2021, 104 (3), pp.034003. ⟨10.1103/PhysRevD.104.034003⟩. ⟨hal-03129450⟩

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