[Submitted on 23 Apr 2015] (cross-list from hep-ph)
Axial anomaly effects in finite isospin PT in a magnetic field
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 () 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 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 domain wall state. This phase transition exists for non-zero pion masses if the baryon chemical potential exceeds a critical value . The phase transition line persists away from the Schwinger limit when the photons can back-react to the external magnetic field.
- Comments:
- 7 pages, 3 figures
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 1504.06349 [pdf]