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Revisiting the Wess-Zumino-Witten Term in Nuclear and Quark Matter under Magnetic Fields and Rotation

Abstract

We study anomalous Wess-Zumino-Witten terms associated with the chiral anomaly in dense QCD matter under magnetic fields and rotation. By introducing electromagnetic, baryon number, and isospin background gauge fields, we write down the topological couplings of neutral mesons for the Nf=2 and Nf=3 cases. The resulting terms contain characteristic contributions proportional to B⃗ · ∇⃗ ϕ and Ω⃗ · ∇⃗ ϕ, where ϕ denotes π0, η, or η'. These results are relevant to chiral soliton lattices in dense rotating matter.

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BibTeX
@misc{amano2026revisiting,
  title = {{Revisiting the Wess-Zumino-Witten Term in Nuclear and Quark Matter under Magnetic Fields and Rotation}},
  author = {Markus A. G. Amano and Minoru Eto and Muneto Nitta and Shin Sasaki},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.04929},
  eprint = {2607.04929},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.04929},
}
RIS
TY  - UNPB
TI  - Revisiting the Wess-Zumino-Witten Term in Nuclear and Quark Matter under Magnetic Fields and Rotation
AU  - Markus A. G. Amano
AU  - Minoru Eto
AU  - Muneto Nitta
AU  - Shin Sasaki
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2607.04929
UR  - https://arxiv.org/abs/2607.04929
AB  - We study anomalous Wess-Zumino-Witten terms associated with the chiral anomaly in dense QCD matter under magnetic fields and rotation. By introducing electromagnetic, baryon number, and isospin background gauge fields, we write down the topological couplings of neutral mesons for the N_f=2 and N_f=3 cases. The resulting terms contain characteristic contributions proportional to B⃗ · ∇⃗ ϕ and Ω⃗ · ∇⃗ ϕ, where ϕ denotes π^0, η, or η'. These results are relevant to chiral soliton lattices in dense rotating matter.
ER  -