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Study of the finite temperature transition in 3-flavor QCD using the R and RHMC algorithms

M. Cheng·N. H. Christ·M. A. Clark·J. van der Heide·C. Jung·F. Karsch·O. Kaczmarek·E. Laermann·R. D. Mawhinney·C. Miao·P. Petreczky·K. Petrov·C. Schmidt·W. Soeldner·T. Umeda
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Abstract

We study the finite temperature transition in QCD with three flavors of equal masses using the R and RHMC algorithm on lattices with temporal extent N_τ=4 and 6. For the transition temperature in the continuum limit we find r_0 T_c=0.429(8) for the light pseudo-scalar mass corresponding to the end point of the 1st order transition region. When comparing the results obtained with the R and RHMC algorithms for p4fat3 action we see no significant step-size errors down to a lightest pseudo-scalar mass of m_{ps} r_0=0.4.

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M. Cheng, N. H. Christ, M. A. Clark, J. van der Heide, C. Jung, F. Karsch, O. Kaczmarek, E. Laermann, R. D. Mawhinney, C. Miao, P. Petreczky, K. Petrov, C. Schmidt, W. Soeldner, T. Umeda. 2006-12-01. Study of the finite temperature transition in 3-flavor QCD using the R and RHMC algorithms. https://doi.org/10.1103/physrevd.75.034506

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