PoS - Proceedings of Science
Volume 451 - European network for Particle physics, Lattice field theory and Extreme computing (EuroPLEx2023) - Plenary Session
Universal properties of Yang-Lee edge singularity and QCD phase diagram
V. Skokov
Full text: pdf
Pre-published on: June 03, 2024
Published on:
Critical points are categorized based on the number of relevant variables. The standard critical
point in systems like the Ising model involves two relevant variables, namely temperature and
external magnetic field. In contrast, a tricritical point is characterized by four such variables. The
protocritical point, widely known as the Yang-Lee edge singularity (YLE), is the simplest form of
criticality and has just one relevant variable.
Unlike conventional critical points, the YLE singularity occurs at complex values of parameters.
When two YLE singularities merge and pinch the real axis of the corresponding thermodynamic
variable, a critical point with associated critical scaling emerges. In other words, the location of
the YLE singularity is continuously connected to the location of the critical point.
In this talk, I explain why conventional methods fail to accurately locate YLE singularity and
demonstrate the success of the Functional Renormalization Group approach in determining the
universal location of these singularities. I also discuss how we can learn more about QCD phase
diagram by combining our findings with lattice QCD results.
DOI: https://doi.org/10.22323/1.451.0026
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