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31 July 2023 to 4 August 2023
America/Chicago timezone

Detecting Lee Yang/Fisher singularities by multi-point Padè

31 Jul 2023, 17:20
20m
Sunrise (WH11NE)

Sunrise

WH11NE

Parallel Talk QCD at Non-zero Density

Speaker

Prof. Francesco Di Renzo (University of Parma and INFN)

Description

The Bielefeld Parma Collaboration has in recent years put forward a method to probe finite density QCD by the detection of Lee Yang singularities. The location of the latter is obtained by multi-point Padè approximants, which are in turn calculated matching Taylor series results obtained from Monte Carlo computations at (a variety of values of) imaginary baryonic chemical potential. The method has been successfully applied to probe the Roberge Weiss phase transition and preliminary, interesting results are showing up in the vicinity of a possible QCD critical endpoint candidate.
In this talk we will be concerned with a couple of significant aspects in view of a more powerful application of the method. First, we will discuss the possibility of detecting finite size scaling of Lee Yang/Fisher singularities in finite density (lattice) QCD. Secondly, we will discuss our attempts at detecting both singularities in the complex chemical potential plane and singularities in the complex temperature plane. The former are obtained from rational approximations which are functions of the chemical potential at given values of the temperature; the latter are obtained from rational approximations which are functions of the temperature at given values of the chemical potential.

Topical area QCD at Non-zero Density

Primary authors

Prof. Francesco Di Renzo (University of Parma and INFN) David A. Clarke (University of Utah) Dr Petros Dimopoulos (University of Parma) Dr Jishnu Goswami (RIKEN AICS) Christian Schmidt-Sonntag (University of Bielefeld) Dr Simran Singh (University of Bielefeld) Kevin Zambello (University of Pisa and INFN - Sezione di Pisa)

Presentation materials