Rotation induced charged pion condensation in a strong magnetic field: A Nambu--Jona-Lasino model study
arXiv:1910.02728 · doi:10.1103/PhysRevD.100.094015
Abstract
We investigate the possibility of charged pion condensation in the presence of parallel rotation and magnetic field within the Nambu--Jona-Lasinio model with quarks as the fundamental degrees of freedom. Previous study based on non-interacting Klein-Gordon theory for pions showed that the charged pions will undergo Bose-Einstein condensation under this circumstance [Y. Liu and I. Zahed, Phys. Rev. Lett. , 032001 (2018)]. In this work, we take into account the internal quark structures of charged pions self-consistently through quark polarization loops in an interacting theory, i.e., the Nambu--Jona-Lasino model. The stability of the system is explored against the formation of a nonzero expectation value of the composite charged pion field . We find that two competing effects are induced by the rotation: the isospin enhancement which favors charged pion condensation and the spin breaking which disfavors the condensation. For a strong magnetic field () and system size of a few fermi, the isospin enhancement effect is stronger than the spin breaking one, and the charged pion condensation becomes energetically favored beyond a critical angular velocity of a few MeV.
References in corpus (17)
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
- BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
- Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
- Boundary effects and gapped dispersion in rotating fermionic matter
- Scrutinizing the pion condensed phase
- Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
- Magnetic structure of isospin-asymmetric QCD matter in neutron stars
- Pion and Kaon Condensation at Finite Temperature and Density
- Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
- Pion Condensation by Rotation in a Magnetic field
- Linear sigma model at finite density in the 1/N expansion to next-to-leading order
- Charge redistribution from anomalous magnetovorticity coupling
- Chiral density waves in the NJL model with quark number and isospin chemical potentials
- Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
- Surface Magnetic Catalysis
- Magnetic catalysis of a finite size pion condensate