Vorticity-induced effects from Wess-Zumino-Witten terms

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Main Authors: Evans, Geraint W., Yamamoto, Naoki, Yang, Di-Lun
Format: Preprint
Published: 2025
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author Evans, Geraint W.
Yamamoto, Naoki
Yang, Di-Lun
author_facet Evans, Geraint W.
Yamamoto, Naoki
Yang, Di-Lun
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_25459
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Vorticity-induced effects from Wess-Zumino-Witten terms
Evans, Geraint W.
Yamamoto, Naoki
Yang, Di-Lun
High Energy Physics - Phenomenology
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Nuclear Theory
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.
title Vorticity-induced effects from Wess-Zumino-Witten terms
topic High Energy Physics - Phenomenology
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2510.25459