PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Non-zero Temperature
Parallel tempering algorithm applied to the deconfinement transition of quenched QCD
R. Kara*, S. Borsanyi, Z. Fodor, D. Godzieba, P. Parotto and D. Sexty
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Pre-published on: January 05, 2023
Published on: April 06, 2023
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 the supercritical slowing down. 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.
DOI: https://doi.org/10.22323/1.430.0178
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