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Determination of Lee-Yang edge singularities in QCD by rational approximations
- Source :
- PoS LATTICE2022 (2023) 164
- Publication Year :
- 2023
-
Abstract
- We report updated results on the determination of Lee-Yang edge (LYE) singularities in $N_f = 2+1$ QCD using highly improved staggered quarks (HISQ) with physical masses on $N_\tau = 4, 6, 8$ lattices. The singularity structure of QCD in the complex $\mu_B$ plane is probed using conserved charges calculated at imaginary $\mu_B$. The location of the singularities is determined by studying the (uncancelled) poles of multi-point Pad\'e approximants. We show that close to the Roberge-Weiss (RW) transition, the location of the LYE singularities scales according to the $3$-$d$ $Z(2)$ universality class. By combining the new $N_\tau = 6$ data with the $N_\tau = 4$ data from our previous analysis we extract a rough estimate for the RW temperature in the continuum limit. We also discuss some preliminary results for the singularities close to the chiral phase transition obtained from simulations on $N_\tau = 6, 8$ lattices.<br />Comment: 10 pages, 9 figures, Proceedings of the 39th International Symposium on Lattice Field Theory, 8-13 August 2022, Bonn, Germany
- Subjects :
- High Energy Physics - Lattice
Subjects
Details
- Database :
- arXiv
- Journal :
- PoS LATTICE2022 (2023) 164
- Publication Type :
- Report
- Accession number :
- edsarx.2301.03952
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.22323/1.430.0164