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31 July 2023 to 4 August 2023
America/Chicago timezone

Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon number density

4 Aug 2023, 09:40
20m
Sunrise (WH11NE)

Sunrise

WH11NE

Parallel Talk QCD at Non-zero Density

Speaker

Christian Schmidt (Bielefeld University)

Description

We present recent results of the Bielefeld-Parma collaboration on the
baryon number density at imaginary chemical potential with
(2+1)-flavors of HISQ fermions on Nt=4,6 and 8 lattices. Based on these
data we calculate Fourier coefficients by means of a Filon-type
quadrature. We discuss how the universal critical behavior is manifest
in the asymptotic behavior of the Fourier coefficients of the baryon
number density. We derive a fit ansatz for the Fourier coefficients by
integrating around the Lee-Yang cut in the complex plane of the
scaling function of the order parameter. Based on this formula we
propose a well defined strategy to locate the position of the Lee-Yang
edge singularities associated with the Roberge Weiss transition and
the chiral transition in QCD. The results are in agreement with
previous results of the Bielefeld-Parma Collaboration based on the
multi-point Pade approach. To that extent, we also present an update of
the continuum extrapolation of the Roberge-Weiss transition temperature.

Topical area QCD at Non-zero Density

Primary author

Christian Schmidt (Bielefeld University)

Presentation materials