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arXiv · 2510.25459

Vorticity-induced effects from Wess-Zumino-Witten terms

Geraint W. Evans·Naoki Yamamoto·Di-Lun Yang
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Abstract

We study vorticity-induced effects arising from the Wess-Zumino-Witten terms for Nambu-Goldstone modes in chiral perturbation theory. We first provide an alternative derivation of the Wess-Zumino-Witten terms in the presence of external vector, axial-vector, and pseudoscalar fields using a derivative expansion of the fermion determinant. We then employ the previously found correspondence in which vorticity is treated as an axial-vector field coupled to Dirac fermions in flat spacetime. Using this, we derive vorticity-induced contributions for Nambu-Goldstone modes in the presence of electromagnetic fields at finite baryon and isospin chemical potentials, including a vorticity-induced current, a magnetic-field-induced angular momentum, and a vorticity-modified photon-pion coupling. We also briefly discuss the phenomenological implications of these vorticity-induced effects.

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Geraint W. Evans, Naoki Yamamoto, Di-Lun Yang. 2026-03-12. Vorticity-induced effects from Wess-Zumino-Witten terms. https://doi.org/10.1103/jnlh-ml8m

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