Apparent convergence of Padé approximants for the crossover line in finite density QCD

Pásztor A, Szép Z, Marko G (2021)
Physical Review D 103(3).

Zeitschriftenaufsatz | Veröffentlicht | 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
2021
Zeitschriftentitel
Physical Review D
Band
103
Ausgabe
3
ISSN
2470-0010
eISSN
2470-0029
Page URI
https://pub.uni-bielefeld.de/record/2949951

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Pásztor A, Szép Z, Marko G. Apparent convergence of Padé approximants for the crossover line in finite density QCD. Physical Review D. 2021;103(3).
Pásztor, A., Szép, Z., & Marko, G. (2021). Apparent convergence of Padé approximants for the crossover line in finite density QCD. Physical Review D, 103(3). https://doi.org/10.1103/PhysRevD.103.034511
Pásztor, A., Szép, Z., and Marko, G. (2021). Apparent convergence of Padé approximants for the crossover line in finite density QCD. Physical Review D 103.
Pásztor, A., Szép, Z., & Marko, G., 2021. Apparent convergence of Padé approximants for the crossover line in finite density QCD. Physical Review D, 103(3).
A. Pásztor, Z. Szép, and G. Marko, “Apparent convergence of Padé approximants for the crossover line in finite density QCD”, Physical Review D, vol. 103, 2021.
Pásztor, A., Szép, Z., Marko, G.: Apparent convergence of Padé approximants for the crossover line in finite density QCD. Physical Review D. 103, (2021).
Pásztor, Attila, Szép, Zsolt, and Marko, Gergely. “Apparent convergence of Padé approximants for the crossover line in finite density QCD”. Physical Review D 103.3 (2021).

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arXiv: 2010.00394

Inspire: 1820596

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