Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913355635097600 |
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| author | Schmidt, Christian Clarke, David A. Dimopoulos, Petros Di Renzo, Francesco Goswami, Jishnu Singh, Simran Skokov, Vladimir V. Zambello, Kevin |
| author_facet | Schmidt, Christian Clarke, David A. Dimopoulos, Petros Di Renzo, Francesco Goswami, Jishnu Singh, Simran Skokov, Vladimir V. Zambello, Kevin |
| contents | 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 $T_{RW}=211.1\pm3.1$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07790 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD Schmidt, Christian Clarke, David A. Dimopoulos, Petros Di Renzo, Francesco Goswami, Jishnu Singh, Simran Skokov, Vladimir V. Zambello, Kevin High Energy Physics - Lattice 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 $T_{RW}=211.1\pm3.1$ 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. |
| title | Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.07790 |