2025/02/05 by Szabolcs Borsányi, Adam, Alexander, Borsányi, Szabolcs +14 · 1 citation
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Clustering Algorithms Research #Complex Network Analysis Techniques #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Spatial and Panel Data Analysis
paper · pdf · doi:10.48550/arxiv.2502.03211
openalex publication_date 2025/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Near a critical endpoint the Lee-Yang edge singularity approaches the real axis in the complex chemical potential plane. In the vicinity of the critical point the functional form of this approach depends on the universality class. Assuming a three dimensional Ising critical point in the QCD phase diagram the location of the critical endpoint can be extrapolated provided that the position of the Lee-Yang edge singularity is known at multiple temperatures. A popular method to estimate the position of a singularity is to model the free energy as a rational function of the baryon chemical potential μB. The parameters of this model can be constrained by the cumulants of the net baryon density taken at μB2≤0 . Using high-statistics simulations on a lattice 163×8 by the Wuppertal-Budapest Collaboration we estimate the location of the closest singularity in the QCD phase diagram. We also compare various models for the functional form of the free energy and discuss the predictive power of this approach.