Thermodynamics and quark condensates of three-flavor QCD at low temperature

Abstract

We use three-flavor chiral perturbation theory ($\ddot{I}‡$PT) to calculate the pressure, light and $s$-quark condensates of QCD in the confined phase at finite temperature to $\mathcal{O}(p^6)$ in the low-energy expansion. We also include electromagnetic effects to order $e^2$, where the electromagnetic coupling $e$ counts as order $p$. Our results for the pressure and the condensates suggest that $\ddot{I}‡$PT converges very well for temperatures up to approximately 150 MeV. We combine $\ddot{I}‡$PT and the Hadron Resonance Gas (HRG) model by adding heavier baryons and mesons. Our results are compared with lattice simulations an d the agreement is very good for temperatures below {170} MeV, in contrast to the results from $\ddot{I}‡$PT which agree with the lattice only up to $T\approx 120$ MeV. Our value for the chiral crossover temperature is 160.1 MeV, which compares favorably to the lattice result of $157.3$ MeV.

21 pages. 8 figures V2 matches published version in PRD