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

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arxiv hep-lat/0612001 v1 pith:RSPVQISQ submitted 2006-12-01 hep-lat

M. Cheng , N. H. Christ , M.A. Clark , J. van der Heide , C. Jung , F. Karsch , O. Kaczmarek , E. Laermann
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R. D. Mawhinney C. Miao P. Petreczky K. Petrov C. Schmidt W. Soeldner T. Umeda
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classification hep-lat
keywords transitionrhmctemperaturealgorithmsfinitemasspseudo-scalaraction
verification ladder T0 review T1 audit T2 compute T3 formal
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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_{\tau}=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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