1. Searching for the QCD critical endpoint using multi-point Pad\'e approximations
- Author
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Clarke, David A., Dimopoulos, Petros, Di Renzo, Francesco, Goswami, Jishnu, Schmidt, Christian, Singh, Simran, and Zambello, Kevin
- Subjects
High Energy Physics - Lattice - Abstract
Using the multi-point Pad\'e approach, we locate Lee-Yang edge singularities of the QCD pressure in the complex baryon chemical potential plane. These singularities are extracted from singularities in the net baryon-number density calculated in $N_f=2+1$ lattice QCD at physical quark mass and purely imaginary chemical potential. Taking an appropriate scaling ansatz in the vicinity of the conjectured QCD critical endpoint, we extrapolate the singularities on $N_\tau=6$ lattices to pure real baryon chemical potential to estimate the position of the critical endpoint (CEP). We find $T^{\rm CEP}=105^{+8}_{-18}$~ MeV and $\mu_B^{\rm CEP} = 422^{+80}_{-35}$~ MeV, which compares well with recent estimates in the literature. For the slope of the transition line at the critical point we find $-0.16(24)$., Comment: 10 pages, 7 figues
- Published
- 2024