Dynamical simulations of QCD at finite temperature with a truncated perfect action

TL;DR

This study explores finite temperature QCD simulations using a truncated perfect fermion action with Hypercube operators, revealing metastability but no Aoki phase, and demonstrating computational efficiency at small pseudoscalar to vector meson mass ratios.

Contribution

Introduces a new dynamical QCD simulation approach using Hypercube fermions, showing its effectiveness and computational advantages over Wilson-like fermions.

Findings

Metastability region observed in phase diagram.

No evidence of Aoki phase detected.

Achieved small pseudoscalar to vector meson mass ratios at thermal crossover.

Abstract

The Hypercube operator determines a variant of the approximate, truncated perfect fermion action. In this pilot study we are going to report on first experiences in dynamical QCD simulations with the Hypercube fermions. We apply this formulation in an investigation of the finite temperature transition for two flavours. On lattices of size $8^3\times 4$ we explore the phase diagram. Physical scales are estimated from pseudoscalar and vector meson masses obtained on $8^3\times 16$ lattices. We observe the presence of a metastability region but do not find evidence for an Aoki phase. The Hypercube operator allows us to simulate at ratios of pseudoscalar to vector meson masses at least as small as 0.8 at the thermal crossover at $N_t=4$, which renders this formulation cheaper than the Wilson like fermions.