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

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 [mu] sub()qusing the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and dens...

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Bibliographic Details
Published in:Physical review. D 2016-03, Vol.93 (5), Article 054045
Main Authors: Andersen, Jens O., Haque, Najmul, Mustafa, Munshi G., Strickland, Michael
Format: Article
Language:English
Subjects:
Baryons
Chemical potential
Cosmology
Density
Mathematical analysis
Perturbation theory
Quantum chromodynamics
Thermodynamics
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Summary: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 [mu] sub()qusing 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 [mu] sub()B [mu] sub()S and [mu] sub()I We calculate the pressure at nonzero [mu] sub()Band [mu] sub()Iwith [mu] sub()S0, and the energy density, the entropy density, the trace anomaly, and the speed of sound at nonzero [mu] sub()Iwith [mu] sub()B[mu] sub()S0. The second- and fourth-order isospin susceptibilities are calculated at [mu] sub()B[mu] sub()S[mu] sub()I0. Our results can be directly compared to lattice QCD without Taylor expansions around [mu] sub()q0 since QCD has no sign problem at [mu] sub()B[mu] sub()S0 and finite isospin chemical potential [mu] sub()I
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.93.054045