On the QCD critical point, Lee-Yang edge singularities and Pade resummations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909241334300672 |
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| author | Basar, Gokce |
| author_facet | Basar, Gokce |
| contents | We analyze the trajectory of the Lee-Yang edge singularities of the QCD equation of state in the complex baryon chemical potential ($μ_B$) plane for different values of the temperature by using the recent lattice results for the Taylor expansion coefficients up to eighth order in $μ_B$ and various resummation techniques that blend in Pade expansions and conformal maps. By extrapolating from this information, we estimate for the location of the QCD critical point, $ T_c \approx 100$ MeV, $μ_c \approx 580$ MeV. We also estimate the crossover slope at the critical point to be $α_1 \approx 9^\circ$ and further constrain the non-universal mapping parameters between the three dimensional Ising model and QCD equations of state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_06952 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the QCD critical point, Lee-Yang edge singularities and Pade resummations Basar, Gokce High Energy Physics - Theory Nuclear Theory We analyze the trajectory of the Lee-Yang edge singularities of the QCD equation of state in the complex baryon chemical potential ($μ_B$) plane for different values of the temperature by using the recent lattice results for the Taylor expansion coefficients up to eighth order in $μ_B$ and various resummation techniques that blend in Pade expansions and conformal maps. By extrapolating from this information, we estimate for the location of the QCD critical point, $ T_c \approx 100$ MeV, $μ_c \approx 580$ MeV. We also estimate the crossover slope at the critical point to be $α_1 \approx 9^\circ$ and further constrain the non-universal mapping parameters between the three dimensional Ising model and QCD equations of state. |
| title | On the QCD critical point, Lee-Yang edge singularities and Pade resummations |
| topic | High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2312.06952 |