Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state
Vladimir V. Skokov

TL;DR
This paper introduces the analytic structure of equations of state near phase transitions, focusing on the Yang-Lee edge singularity, and reviews recent progress in locating the QCD critical point through this framework.
Contribution
It provides an accessible introduction to the Yang-Lee edge singularity and discusses recent theoretical advances in identifying the QCD critical point using this concept.
Findings
Identification of the Yang-Lee edge singularity as a key feature near phase transitions
Recent methods for locating the QCD critical point via singularity tracking
Insights into the analytic structure of the QCD equation of state
Abstract
These lecture notes, prepared for the 2024 XQCD PhD, provide an introduction to the analytic structure of an equation of state near a second-order phase transition and its most prominent landmark: the Yang-Lee edge singularity. In addition to discussing general properties, the notes review recent theoretical progress in locating the QCD critical point by tracking the trajectory of the Yang-Lee edge singularity.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research · Particle physics theoretical and experimental studies
