Finite-N virial statistical models are exactly solvable via C-integrable hydrodynamic PDEs; phase transitions emerge as shock waves in the N to infinity limit and are used to construct a QCD phase diagram with smeared critical points.
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Theoretical diagnostics for mean-field breakdown demonstrate that spatial structure and finite interaction ranges qualitatively modify renormalization-group flows.
The study analyzes temperature dependence of Lee-Yang zeros and edge singularities in a finite-volume mean-field QCD model and compares finite-size scaling methods for identifying the critical point.
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Phase transitions and finite-size effects in integrable virial statistical models
Finite-N virial statistical models are exactly solvable via C-integrable hydrodynamic PDEs; phase transitions emerge as shock waves in the N to infinity limit and are used to construct a QCD phase diagram with smeared critical points.
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Beyond Mean Field: Fluctuation Diagnostics and Fixed-Point Behavior
Theoretical diagnostics for mean-field breakdown demonstrate that spatial structure and finite interaction ranges qualitatively modify renormalization-group flows.
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Lee-Yang zeros and edge singularity in a mean-field approach
The study analyzes temperature dependence of Lee-Yang zeros and edge singularities in a finite-volume mean-field QCD model and compares finite-size scaling methods for identifying the critical point.