Apparent convergence of Pad�� approximants for the crossover line in finite density QCD
| Autor: | P��sztor, Attila, Sz��p, Zsolt, Mark��, Gergely |
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| Rok vydání: | 2020 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2010.00394 |
| Popis: | We propose a novel Bayesian method to analytically continue observables to real baryochemical potential $��_B$ in finite density QCD. Taylor coefficients at $��_B=0$ and data at imaginary chemical potential $��_B^I$ are treated on equal footing. We consider two different constructions for the Pad�� approximants, the classical multipoint Pad�� approximation and a mixed approximation that is a slight generalization of a recent idea in Pad�� approximation theory. Approximants with spurious poles are excluded from the analysis. As an application, we perform a joint analysis of the available continuum extrapolated lattice data for both pseudocritical temperature $T_c$ at $��_B^I$ from the Wuppertal-Budapest Collaboration and Taylor coefficients $��_2$ and $��_4$ from the HotQCD Collaboration. An apparent convergence of $[p/p]$ and $[p/p+1]$ sequences of rational functions is observed with increasing $p.$ We present our extrapolation up to $��_B\approx 600$ MeV. 10 pages, 4 figures, clarifications and references added, published version |
| Databáze: | OpenAIRE |
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