Critical behavior and critical exponents of rotating QCD matter

Abstract

We investigate the thermodynamic properties and critical behavior of rotating strongly interacting matter within the two-flavor Nambu--Jona-Lasinio (NJL) model in the mean-field approximation. The phase structure and the critical endpoint (CEP) are determined in the temperature--angular velocity \((T,ω)\) plane. By analyzing the singular behavior of thermodynamic observables near the CEP, we extract the corresponding effective critical exponents characterizing the scaling behavior of the specific heat density, the rotational polarization discontinuity, the rotational susceptibility, and the critical-isotherm behavior of the rotational polarization. The obtained exponents approach the expected mean-field values and satisfy the corresponding scaling relations, indicating that the rotational degree of freedom does not alter the underlying mean-field critical scaling behavior within the present framework. These results provide a systematic characterization of rotation-induced critical phenomena and establish a basis for further studies of rotating QCD matter beyond the mean-field approximation.