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arXiv · 2401.07790

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

Christian Schmidt·David A. Clarke·Petros Dimopoulos·Francesco Di Renzo·Jishnu Goswami·Simran Singh·Vladimir V. Skokov·Kevin Zambello
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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 Pad\'e resummation) is used to determine the Roberge-Weiss phase transition temperature. Our continuum extrapolated result is $T_{RW}=211.1\pm3.1$ 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.

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Christian Schmidt, David A. Clarke, Petros Dimopoulos, Francesco Di Renzo, Jishnu Goswami, Simran Singh, Vladimir V. Skokov, Kevin Zambello. 2024-01-15. Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD. https://doi.org/10.22323/1.453.0167

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