Complex singularities around the QCD critical point at finite densities

Abstract

Partition function zeros provide alternative approach to study phase structure of finite density QCD. The structure of the Lee-Yang edge singularities associated with the zeros in the complex chemical potential plane has a strong influence on the real axis of the chemical potential. In order to investigate what the singularities are like in a concrete form, we resort to an effective theory based on a mean field approach in the vicinity of the critical point. The crossover is identified as a real part of the singular point. We consider the complex effective potential and explicitly study the behavior of its extrema in the complex order parameter plane in order to see how the Stokes lines are associated with the singularity. Susceptibilities in the complex plane are also discussed.

arXiv commentLaTeX, 27 pages with 15 figures

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Cited by in corpus (4)

• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Critical point search from an extended parameter space of lattice QCD at finite temperature and density