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

Abstract

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.

References in corpus (20)

• Hydrodynamics with Triangle Anomalies
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Charge separation induced by P-odd bubbles in QCD matter
• Chiral Kinetic Theory
• Measuring the neutron star equation of state using X-ray timing
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Pairing Phase Transitions of Matter under Rotation
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Analogy between rotation and density for Dirac fermions in a magnetic field
• Boundary effects and gapped dispersion in rotating fermionic matter
• Chiral transition in a finite system and possible use of finite size scaling in relativistic heavy ion collisions
• Rotating fermions inside a cylindrical boundary
• A Rotation/Magnetism Analogy for the Quark-Gluon Plasma
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Nambu Jona Lasinio model with proper time regularization in a finite volume
• Finite volume effects on the chiral phase transition from Dyson-Schwinger equations of QCD
• Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume
• Nambu-Jona-Lasinio model in a sphere
• Chiral phase transition in a rotating sphere
• Rotating fermions inside a spherical boundary

Cited by in corpus (11)

• Inhomogeneous confining-deconfining phases in rotating plasmas
• Inhomogeneity of rotating gluon plasma and Tolman-Ehrenfest law in imaginary time: lattice results for fast imaginary rotation
• Negative moment of inertia and rotational instability of gluon plasma
• New mixed inhomogeneous phase in vortical gluon plasma: first-principle results from rotating SU(3) lattice gauge theory
• Negative Barnett effect, negative moment of inertia of gluon plasma and thermal evaporation of chromomagnetic condensate
• Spin alignment of vector mesons from quark dynamics in a rotating medium
• Chiral and deconfinement thermal transitions at finite quark spin polarization in lattice QCD simulations
• Instantons in rotating finite-temperature Yang-Mills gas
• Firewall boundaries and mixed phases of rotating quark matter in linear sigma model
• On the origin of mixed inhomogeneous phase in vortical gluon plasma
• Impact of spin polarization on transport and thermodynamic coefficients