English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we consider finite isospin chiral perturbation theoryincluding the effects of the axial anomaly (through the Wess-Zumino-Wittenterm) in a strong magnetic field. We firstly prove that in a strong externalmagnetic field ($H_{\rm ext}$) or more precisely the Schwinger limit, wherephoton back-reactions are suppressed, only neutral pions can condense and thecondensation of charged pions is forbidden. Secondly, we find that the$\pi^{0}$ domain wall is an example of a phase that can exist in a strongmagnetic field and suggest the existence of a new phase transition line fromthe normal vacuum state to the $\pi^{0}$ domain wall state. This phasetransition exists for non-zero pion masses if the baryon chemical potentialexceeds a critical value $16\pi f_{\pi}^{2}m_{\pi}/eH_{\rm ext}$. The phasetransition line persists away from the Schwinger limit when the photons canback-react to the external magnetic field.

Axial anomaly effects in finite isospin $\chi$PT in a magnetic field