Towards the equation of state in 2+1 flavor QCD with improved Wilson quarks in the fixed scale approach

TL;DR

This study advances the calculation of the QCD equation of state with 2+1 flavors of improved Wilson quarks by employing a fixed scale approach and a novel T-integral method to efficiently determine thermodynamic quantities.

Contribution

It introduces a fixed scale approach combined with the T-integral method for calculating the QCD equation of state with improved Wilson quarks, reducing computational costs.

Findings

Implementation of the fixed scale approach for thermodynamics in QCD.

Development of the T-integral method for pressure calculation.

Reduction in computational cost for dynamical quark simulations.

Abstract

We report on the status of our study towards the equation of state in 2+1 flavor QCD with improved Wilson quarks. To reduce the computational cost which is quite demanding for Wilson-type quarks, we adopt the fixed scale approach, i.e. the temperature T is varied by N_t at fixed lattice spacing. Since the conventional integral method to obtain the pressure is inapplicable at a fixed scale, we adopt the "T-integral method", to calculate the pressure non-perturbatively. Reduction of the computational cost of T=0 simulations thus achieved is indispensable to study EOS in QCD with dynamical quarks.