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    Shear viscosity and electrical conductivity of a rotating nuclear medium in the hadron-resonance-gas and Nambu–Jona-Lasinio models

    Ashutosh Dwibedi1, Dani Rose J. Marattukalam1, Nandita Padhan2, Dushmanta Sahu3, Jayanta Dey1,4, Kangkan Goswami5, Arghya Chatterjee2, Sabyasachi Ghosh1, and Raghunath Sahoo5

    Phys. Rev. C 113, 044903 – Published 1 April, 2026

    DOI: https://doi.org/10.1103/r4cq-stt7

    Abstract

    Motivated by recent observations of spin polarization and alignment in heavy-ion collisions, we study the impact of rotation on the transport properties of strongly interacting matter within kinetic theory in the relaxation time approximation. Our analysis focuses on the anisotropic shear viscosity—parallel (η∥), perpendicular (η⊥), and Hall (η×)—and electrical conductivity—σ∥, σ⊥, and σ×—induced by the Coriolis force in a rotating medium. We employ two approaches: a combined quark–gluon plasma–hadron resonance gas (QGP-HRG) framework and a two-flavor Nambu–Jona-Lasinio (NJL) model. In the QGP-HRG description, noninteracting HRG (massless partonic) degrees of freedom are used below (above) the transition temperature. In the NJL model, rotation enters through spinorial connections in the Lagrangian, and the constituent quark masses are obtained over the full temperature range. Rotation suppresses the chiral condensate and slightly enhances the transport coefficients for phenomenologically relevant angular velocities. Assuming a temperature-dependent angular velocity consistent with standard cooling, we find that η||,⊥,×/s and σ⊥,×/T exhibit a valleylike temperature dependence, with reduced magnitudes compared to the isotropic η/s and σ/T obtained without rotation. At zero net baryon density, rotation generates a sizable nondissipative Hall-like conductivity, unlike the case with magnetic fields where baryon and antibaryon contributions cancel.

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