Absence of charged pion condensation in a magnetic field with parallel rotation

Abstract

We investigate the critical temperature of a relativistic Bose-Einstein condensate of charged bosons driven by rotation in a parallel magnetic field [Y. Liu and I. Zahed, Phys. Rev. Lett. 120, 032001 (2018)]. For non-interacting bosons, the critical temperature can only be determined for a system with fixed angular momentum. We find that the critical temperature of the non-interacting system vanishes due to the fact that the system is quasi-one-dimensional, indicating that non-interacting bosons cannot undergo Bose-Einstein condensation. For interacting bosons, we investigate a system with quartic self-interaction. We show that the order parameter vanishes and the off-diagonal long-range order is absent at any nonzero temperature because of the quasi-one-dimensional feature, in accordance with the Coleman-Mermin-Wagner-Hohenberg theorem.

arXiv comment16 pages, 1 figure

References in corpus (18)

• Estimate of the magnetic field strength in heavy-ion collisions
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• QCD at finite isospin density
• Angular momentum conservation in heavy ion collisions at very high energy
• Rotating quark-gluon plasma in relativistic heavy ion collisions
• Lattice QCD at finite isospin density at zero and finite temperature
• Vorticity in Heavy-Ion Collisions
• A study of vorticity formation in high energy nuclear collisions
• QCD phase diagram for nonzero isospin-asymmetry
• New class of compact stars: Pion stars
• Some remarks on pion condensation in relativistic heavy ion collisions
• Pion Condensation by Rotation in a Magnetic field
• Pion condensation in the early Universe at nonvanishing lepton flavor asymmetry and its gravitational wave signatures
• Cosmic QCD Epoch at Nonvanishing Lepton Asymmetry
• Reentrant pion superfluidity and cosmic trajectories within PNJL model
• Formation of a supergiant quantum vortex in a relativistic Bose-Einstein condensate driven by rotation and a parallel magnetic field