Absence of charged pion condensation in a magnetic field with parallel rotation
Phys. Rev. D 113, 074016 – Published 13 April, 2026
DOI: https://doi.org/10.1103/m97n-qxck
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 noninteracting bosons, the critical temperature can only be determined for a system with fixed angular momentum. We find that the critical temperature of the noninteracting system vanishes due to the fact that the system is quasi-one-dimensional, indicating that noninteracting 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.
