2015/04/23 by Prabal Adhikari, Adhikari, Prabal
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.48550/arxiv.1504.06349
7 pages, 3 figures
arxiv created 2015/04/23 · arxiv updated 2015/04/27
In this paper, we consider finite isospin chiral perturbation theory including the effects of the axial anomaly (through the Wess-Zumino-Witten term) in a strong magnetic field. We firstly prove that in a strong external magnetic field (H\rm ext) or more precisely the Schwinger limit, where photon back-reactions are suppressed, only neutral pions can condense and the condensation of charged pions is forbidden. Secondly, we find that the π0 domain wall is an example of a phase that can exist in a strong magnetic field and suggest the existence of a new phase transition line from the normal vacuum state to the π0 domain wall state. This phase transition exists for non-zero pion masses if the baryon chemical potential exceeds a critical value 16πfπ2mπ/eH\rm ext. The phase transition line persists away from the Schwinger limit when the photons can back-react to the external magnetic field.