PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - QCD at Non-zero Density
Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD
C. Schmidt*, D.A. Clarke, P. Dimopoulos, F. Di Renzo, J. Goswami, S. Singh, V. V. Skokov and K. Zambello
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Pre-published on: May 01, 2024
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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 Pade 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.
DOI: https://doi.org/10.22323/1.453.0167
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