The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Parallel tempering algorithm applied for the deconfinement transition of quenched QCD

9 Aug 2022, 15:20

20m

CP1-HSZ/0.011 (CP1-HSZ) - HS1 (CP1-HSZ)

Oral Presentation QCD at Non-zero Temperature Non-zero Temperature

Speaker

Ruben Kara (University of Wuppertal)

Description

QCD with infinite heavy quark masses exhibits a first-order thermal transition which is driven by the spontaneous breaking of the global ${\mathcal{Z}}_3$ center symmetry. We analyze the corresponding order parameter, namely the Polyakov loop and its moments, and show, with a rigorous finite size scaling, that in the continuum limit the transition is of first order. We show that the use of a parallel tempering algorithm can significantly reduce the large auto-correlation times, which are mainly caused by supercritical slowing down for first order phase transitions. As a result, we calculate the transition temperature $w_0{T}_c$ with per-mill precision, and the latent heat, carrying out controlled continuum and infinite volume extrapolations.
Decreasing the quark masses weakens the transition until the latent heat vanishes at the critical mass. We give an update on our exploration of the heavy mass region with three flavors of staggered quarks.

Presentation materials

Parallel_tempering_lattice22_RKara.pdf