Pseudo-Critical Temperature and Thermal Equation of State from $N_f=2$ Twisted Mass Lattice QCD

TL;DR

This study investigates the finite-temperature behavior of two-flavor QCD using twisted mass lattice simulations, estimating the pseudo-critical temperature and analyzing thermodynamic quantities across different pion masses and discretizations.

Contribution

It provides new estimates of the pseudo-critical temperature and preliminary thermodynamic results for two-flavor QCD with twisted mass fermions, including assessments of discretization effects.

Findings

Estimated pseudo-critical temperatures for different pion masses.

Presented preliminary results for trace anomaly, pressure, and energy density.

Assessed continuum limit effects through multiple discretizations.

Abstract

We report about the current status of our ongoing study of the chiral limit of two-flavor QCD at finite temperature with twisted mass quarks. We estimate the pseudo-critical temperature $T_c$ for three values of the pion mass in the range of $m_\mathrm{PS} \simeq 300$ and $500 \mathrm{MeV}$ and discuss different chiral scenarios. Furthermore, we present first preliminary results for the trace anomaly, pressure and energy density. We have studied several discretizations of Euclidean time up to $N_\tau=12$ in order to assess the continuum limit of the trace anomaly. From its interpolation we evaluate the pressure and energy density employing the integral method. Here, we have focussed on two pion masses with $m_\mathrm{PS} \simeq 400$ and $700 \mathrm{MeV}$.