Speaker
Description
We investigate the QCD phase diagram at finite volume using Lee–Yang zeros (LYZs) and Lee–Yang edge singularities (LYES). Properly accounting for finite-volume effects is a central issue in numerical lattice QCD analyses. In recent studies, the LYES has been employed to locate the QCD critical point; however, these approaches typically neglect finite-volume effects by assuming that LYZs obtained in finite-volume simulations can be directly identified with the LYES defined in the infinite-volume limit.
In our recent work, we proposed a method based on LYZs that avoids this assumption. In this approach, we define the Lee–Yang zero ratio (LYZR) as the ratio of the imaginary parts of two distinct LYZs. According to finite-size scaling arguments, the LYZR evaluated at different volumes exhibits an intersection at the critical point, providing a robust criterion for its determination.
In this study, we apply the LYZR method to a QCD effective model. We examine the qualitative relationship between LYZs and the LYES, and analyze the roles of finite-volume effects, mixing effects, and irrelevant operators. Finally, we discuss the feasibility of implementing the LYZR method in lattice QCD.