Lee-Yang edge singularities in QCD via the Dyson-Schwinger Equations
arxiv(2024)
Abstract
We take the Dyson-Schwinger Equation approach of QCD for the quark propagator
at complex chemical potential to study the QCD phase transition. The phase
transition line of the (2+1) flavor QCD matter in the imaginary chemical
potential region is computed via a simplified truncation scheme, which
curvature is found to be consistent with the one at real chemical potential.
Moreover, the computation in the complex chemical potential plane allows us to
determine the location of the Lee-Yang edge singularities. We show explicitly
that the critical end point coincides with the Lee-Yang edge singularities on
the real μ_B^ axis. We also investigate the scaling behavior of the
singularities and discuss the possibility of extrapolating the CEP from a
certain range of chemical potential.
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