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

Abstract

We discuss the scaling of the Yang-Lee singularity (YLs) and show how the universal scaling can be used to locate phase transitions in QCD. We describe two complementary methods to extract the location of the Yang-Lee singularity from lattice QCD data of the baryon-number density and higher order cumulants of the baryon number, obtained at imaginary chemical potential. The first method (multi-point Padé resummation) is used to determine the Roberge-Weiss phase transition temperature. Our continuum extrapolated result is $T_{RW}=211.1\pm 3.1$ MeV. The second method is based on the asymptotic behaviour of the Fourier coefficients of the baryon-number density. We discuss the derivation of a fitting function and demonstrate that the procedure can successfully locate the YLs in the Quark Meson model.

7 pages, 4figures, Proceedings of the 40th International Symposium on Lattice Field Theory (Lattice 2023), July 31st - August 4th, 2023, Fermilab, Batavia, Illinois, USA

References in corpus (5)

• Taylor expansions and Padé approximants for cumulants of conserved charge fluctuations at non-vanishing chemical potentials
• Second order cumulants of conserved charge fluctuations revisited I. Vanishing chemical potentials
• Universal location of the Yang-Lee edge singularity in O(N) theories
• New Way to Resum the Lattice QCD Taylor Series Equation of State at Finite Chemical Potential
• On the QCD critical point, Lee-Yang edge singularities and Pade resummations

Cited by in corpus (1)

• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state