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

Schmidt C, Clarke DA, Dimopoulos P, Renzo FD, Goswami J, Singh S, Skokov VV, Zambello K (2024)
arXiv:2401.07790.

Preprint | Englisch
 
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Schmidt, ChristianUniBi ; Clarke, David A.; Dimopoulos, Petros; Renzo, Francesco Di; Goswami, JishnuUniBi ; Singh, SimranUniBi; Skokov, Vladimir V.; Zambello, Kevin
Abstract / Bemerkung
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.
Erscheinungsjahr
2024
Zeitschriftentitel
arXiv:2401.07790
Page URI
https://pub.uni-bielefeld.de/record/2986137

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Schmidt C, Clarke DA, Dimopoulos P, et al. Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD. arXiv:2401.07790. 2024.
Schmidt, C., Clarke, D. A., Dimopoulos, P., Renzo, F. D., Goswami, J., Singh, S., Skokov, V. V., et al. (2024). Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD. arXiv:2401.07790
Schmidt, Christian, Clarke, David A., Dimopoulos, Petros, Renzo, Francesco Di, Goswami, Jishnu, Singh, Simran, Skokov, Vladimir V., and Zambello, Kevin. 2024. “Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD”. arXiv:2401.07790.
Schmidt, C., Clarke, D. A., Dimopoulos, P., Renzo, F. D., Goswami, J., Singh, S., Skokov, V. V., and Zambello, K. (2024). Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD. arXiv:2401.07790.
Schmidt, C., et al., 2024. Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD. arXiv:2401.07790.
C. Schmidt, et al., “Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD”, arXiv:2401.07790, 2024.
Schmidt, C., Clarke, D.A., Dimopoulos, P., Renzo, F.D., Goswami, J., Singh, S., Skokov, V.V., Zambello, K.: Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD. arXiv:2401.07790. (2024).
Schmidt, Christian, Clarke, David A., Dimopoulos, Petros, Renzo, Francesco Di, Goswami, Jishnu, Singh, Simran, Skokov, Vladimir V., and Zambello, Kevin. “Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD”. arXiv:2401.07790 (2024).
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