The finite-temperature phase structure of lattice QCD with twisted-mass Wilson fermions

TL;DR

This paper investigates the phase structure of two-flavour lattice QCD with twisted-mass Wilson fermions at finite temperature, revealing a conical transition surface and comparing results with chiral perturbation theory.

Contribution

It extends the exploration of the finite-temperature phase diagram of twisted-mass Wilson fermions, providing a global view and confirming the conical shape of the transition surface.

Findings

Identification of the finite temperature transition/crossover near the zero-temperature critical line.

Confirmation of the conical shape of the finite temperature transition surface.

Comparison with NLO lattice chiral perturbation theory enhances understanding of the phase structure.

Abstract

We report progress in our exploration of the finite-temperature phase structure of two-flavour lattice QCD with twisted-mass Wilson fermions and a tree-level Symanzik-improved gauge action for a temporal lattice size N_{\tau}=8. Extending our investigations to a wider region of parameter space we gain a global view of the rich phase structure. We identify the finite temperature transition/crossover for a non-vanishing twisted-mass parameter in the neighbourhood of the zero-temperature critical line at sufficiently high \beta. Our findings are consistent with Creutz's conjecture of a conical shape of the finite temperature transition surface. Comparing with NLO lattice chiral perturbation theory we achieve an improved understanding of this shape.