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Title: The role of the Callan–Witten anomaly density as a Chern–Simons term in Skyrme model
Author: Navarro-Lérida, Francisco
Radu, Eugen
Tchrakian, D. H.
Keywords: Anomaly
Electric charge
Gauged Skyrme
Issue Date: 2023
Publisher: Institute of Physics Publishing
Abstract: We consider axially symmetric solutions of the U(1) gauged Skyrme model supplemented with a Callan-Witten (CW) anomaly density term. The main properties of the solutions are studied, several specific features introduced by the presence of the CW term being identified. We find that the solitons possess a nonzero angular momentum proportional to the electric charge, which in addition to the usual Coulomb part, acquires an extra (topological) contribution from the CW term. Specifically, it is shown that the slope of mass/energy M v s . electric charge Qe and angular momentum J can be both positive and negative. Furthermore, it is shown that the gauged Skyrmion persists even when the quartic (Skyrme) kinetic term disappears
Peer review: yes
DOI: 10.1088/1751-8121/ad018c
ISSN: 1751-8113
Appears in Collections:CIDMA - Artigos
GGDG - Artigos

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