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Fourier coefficients of the net baryon number density and their scaling properties near a phase transition

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arxiv 1902.05457 v2 pith:MWKEPC7M submitted 2019-02-14 hep-ph

Gabor Andras Almasi (Wigner RCP Budapest) , Bengt Friman (GSI Darmstadt) , Kenji Morita (RIKEN Nishina Center & Wroclaw U.) , Krzysztof Redlich (Wroclaw U. & EMMI/GSI Darmstadt) This is my paper · ORCID
classification hep-ph
keywords phasecoefficientspropertiesscalingbaryonchemicalcomplexdensity
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We study the Fourier coefficients b(k,T) of the net baryon number density in strongly interacting matter at finite temperature. We show that singularities in the complex chemical potential plane connected with phase transitions are reflected in the asymptotic behavior of the coefficients at large k. We derive the scaling properties of b(k,T) near a second order phase transition in the O(4) and Z(2) universality classes. The impact of first order and crossover transitions is also examined. The scaling properties of b(k,T) are linked to the QCD phase diagram in the temperature and complex chemical potential plane.

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    hep-ph 2019-09 conditional novelty 7.0 of 10

    In the trivirial model, cluster expansion coefficients b_k have asymptotics b_k ~ A e^{-k μ_R/T} k^{-α} sin(...), switching behavior at the critical temperature, and fitting the first four coefficients to lattice data...

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