Vorticity-induced effects from Wess-Zumino-Witten terms

Geraint Evans^1*, Naoki Yamamoto², Di-Lun Yang^1,3

¹Institute of Physics, Academia Sinica, Nankang, Taiwan
²Department of Physics, Keio University, Tokyo, Japan
³Physics Division, National Center for Theoretical Sciences, Taipei, Taiwan

* Presenter:Geraint Evans, email:geraint.evans47@gmail.com

It was shown recently that vorticity manifesting from space-time torsion can be treated as an effective axial gauge field coupled to massless Dirac fermions in a flat spacetime. Starting from a linear sigma model, I will outline our (re)-derivation of the WZW terms in the presence of external vector, axial-vector, and pseudo-scalar fields using a derivative expansion of fermion determinants. From these terms, one can determine anomalous effects involving Nambu-Goldstone modes in the presence of external chemical potentials, electromagnetic fields, and vorticity via the aforementioned correspondence. These include the anomalous part of the effective action for the Chiral Soliton Lattice under large magnetic fields and terms that couple charged pions to the vorticity. I will then briefly discuss some of the phenomenological implications of the anomalous vorticity-induced effects.

Keywords: Chiral Perturbation Theory, Chiral anomaly, Vorticity