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Chiral phase transition inside a rotating cylinder within the Nambu--Jona-Lasinio model

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arxiv 2012.01017 v1 pith:BDT4HVHO submitted 2020-12-02 hep-ph nucl-th

classification hep-ph nucl-th
keywords chiraltransitionchemicalcylinderfinitephasepotentialrotation
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the chiral phase transition inside a rotating cylinder within the framework of the Namb--Jona-Lasinio model. A spectral boundary condition is imposed to avoid faster than light. We investigate how the geometry of the cylinder and rotation influence the chiral phase transition at finite temperature and chemical potential. The inhomogeneous effects caused by the finite size and rotation are also taken into account. It is found that finite size will reduce the chiral transition temperature and raises the chiral transition chemical potential, while the rotation reduces both the chiral transition temperature and chemical potential. In addition, we discuss the implications of our results in heavy-ion collisions and equation of states of neutron star.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Linear sigma model with quarks and Polyakov loop in rotation: phase diagrams, Tolman-Ehrenfest law and mechanical properties

    nucl-th 2025-03 unverdicted novelty 5.0 of 10

    Rotation lowers critical temperatures for chiral and deconfinement transitions in the Polyakov linear sigma model under causality constraints, with mechanical properties computed in the homogeneous limit.

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