Apparent convergence of Pad\'e approximants for the crossover line in finite density QCD

Pásztor A, Szép Z, Marko G (2020)
arXiv:2010.00394.

Preprint | Englisch
 
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Autor*in
Pásztor, Attila; Szép, Zsolt; Marko, GergelyUniBi
Abstract / Bemerkung
We propose a novel Bayesian method to analytically continue observables to real baryochemical potential μB\mu_BμB​ in finite density QCD. Taylor coefficients at μB=0\mu_B=0μB​=0 and data at imaginary chemical potential μBI\mu_B^IμBI​ are treated on equal footing. We consider two different constructions for the Pad\'e approximants, the classical multipoint Pad\'e approximation and a mixed approximation that is a slight generalization of a recent idea in Pad\'e 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 TcT_cTc​ at μBI\mu_B^IμBI​ from the Wuppertal-Budapest Collaboration and Taylor coefficients κ2\kappa_2κ2​ and κ4\kappa_4κ4​ from the HotQCD Collaboration. An apparent convergence of [p/p][p/p][p/p] and [p/p+1][p/p+1][p/p+1] sequences of rational functions is observed with increasing p.p.p. We present our extrapolation up to μB≈600\mu_B\approx 600μB​≈600 MeV.
Erscheinungsjahr
2020
Zeitschriftentitel
arXiv:2010.00394
Page URI
https://pub.uni-bielefeld.de/record/2949951

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Pásztor A, Szép Z, Marko G. Apparent convergence of Pad\'e approximants for the crossover line in finite density QCD. arXiv:2010.00394. 2020.
Pásztor, A., Szép, Z., & Marko, G. (2020). Apparent convergence of Pad\'e approximants for the crossover line in finite density QCD. arXiv:2010.00394
Pásztor, A., Szép, Z., and Marko, G. (2020). Apparent convergence of Pad\'e approximants for the crossover line in finite density QCD. arXiv:2010.00394.
Pásztor, A., Szép, Z., & Marko, G., 2020. Apparent convergence of Pad\'e approximants for the crossover line in finite density QCD. arXiv:2010.00394.
A. Pásztor, Z. Szép, and G. Marko, “Apparent convergence of Pad\'e approximants for the crossover line in finite density QCD”, arXiv:2010.00394, 2020.
Pásztor, A., Szép, Z., Marko, G.: Apparent convergence of Pad\'e approximants for the crossover line in finite density QCD. arXiv:2010.00394. (2020).
Pásztor, Attila, Szép, Zsolt, and Marko, Gergely. “Apparent convergence of Pad\'e approximants for the crossover line in finite density QCD”. arXiv:2010.00394 (2020).

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arXiv: 2010.00394

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