Three-loop hard-thermal-loop perturbation theory thermodynamics at finite temperature and finite baryonic and isospin chemical potential

2015/11/30 by Jens O. Andersen, Najmul Haque, Munshi G. Mustafa +1 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Baryon #Chiral perturbation theory #High-Energy Particle Collisions Research #High-pressure geophysics and materials #Isospin #Lattice QCD #Mathematical physics #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Quark–gluon plasma #Thermal quantum field theory #Thermodynamics #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.93.054045

published as Phys. Rev. D 93, 054045 (2016) · 19 pages, 9 figs. Updated version matches published version in PRD including changes of title

openalex publication_date 2016/03/29 · arxiv created 2016/03/31 · arxiv updated 2016/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In a previous paper [N. Haque et al., J. High Energy Phys. 05 (2014) 27], we calculated the three-loop thermodynamic potential of QCD at finite temperature T and quark chemical potentials \ensuremathμ_q using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and density QCD. The result allows us to study the thermodynamics of QCD at finite temperature and finite baryon, strangeness, and isospin chemical potentials \ensuremathμ_B, \ensuremathμ_S, and \ensuremathμ_I. We calculate the pressure at nonzero \ensuremathμ_B and \ensuremathμ_I with \ensuremathμ_S=0, and the energy density, the entropy density, the trace anomaly, and the speed of sound at nonzero \ensuremathμ_I with \ensuremathμ_B=\ensuremathμ_S=0. The second- and fourth-order isospin susceptibilities are calculated at \ensuremathμ_B=\ensuremathμ_S=\ensuremathμ_I=0. Our results can be directly compared to lattice QCD without Taylor expansions around \ensuremathμ_q=0 since QCD has no sign problem at \ensuremathμ_B=\ensuremathμ_S=0 and finite isospin chemical potential \ensuremathμ_I.

Citations

• Entropy of the QCD Plasma
• Ultraviolet Behavior of Non-Abelian Gauge Theories
• QCD thermodynamics with continuum extrapolated Wilson fermions I
• Reliable Perturbative Results for Strong Interactions?
• Free energy of QCD at high temperature
• Gluon Thermodynamics at Intermediate Coupling
• Symmetries and spectrum of SU(2) lattice gauge theory at finite chemical potential
• Thermodynamics of the QCD transition from lattice
• Quark number susceptibilities of hot QCD up tog6lng
• Pressure of hot QCD up tog6ln(1/g)
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential

Cited by

• Quark mass dependent collective excitations and quark number susceptibilities within the hard thermal loop approximation