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

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arxiv 1511.04660 v3 pith:KIC46PN4 submitted 2015-11-15 hep-ph hep-lat

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

classification hep-ph hep-lat
keywords finitechemicalisospinpotentialtemperaturedensitycalculatedhard-thermal-loop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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) reorganization of finite temperature and density QCD. The result allows us to study the thermodynamics of QCD at finite temperature and isospin chemical potential $\mu_I$. We calculate the pressure, energy density, and entropy density, the trace anomaly, and the speed of sound at zero and nonzero $\mu_I$. The second, fourth, and sixth-order isospin susceptibilities are calculated at zero $\mu_I$. Our results can be directly compared to lattice QCD without Taylor expansions around $\mu_q=0$ since QCD has no sign problem at finite isospin chemical potential.

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Cited by 3 Pith papers

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  1. Finite-density equation of state of hot QCD using the complex Langevin equation

    hep-lat 2026-04 unverdicted novelty 6.0

    Continuum-extrapolated lattice QCD simulations with complex Langevin produce the equation of state at high baryon chemical potentials above the crossover temperature at the physical point.

  2. One-loop HDL thermodynamics of a strongly magnetized isospin asymmetric cold quark matter

    hep-ph 2026-07 conditional novelty 5.0

    In the lowest Landau level, one-loop HDLpt pressure of cold quark matter grows with quark and isospin chemical potentials, and the magnetization is positive, making transverse pressure smaller than longitudinal.

  3. Minimal superfluid vortices in chiral perturbation theory

    hep-ph 2026-06 unverdicted novelty 4.0

    Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.