2023/11/07 by Francisco Navarro-Lérida, Navarro-Lerida, Francisco, Eugen Radu +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2311.04355
openalex publication_date 2023/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We study the Skyrmion of the SO(2) gauged O(3) sigma model in 2+1 dimensions in the presence of a Skyrme--Chern-Simons (SCS) term, and compare its properties with the corresponding properties of the Skyrmion in the presence of the usual Chern-Simons (CS) term. We find that these properties are qualitatively largely similar in both cases, meaning that the SCS density can be employed as an alternative to the CS term also in higher dimensions, most importantly in even dimensions where no CS term is defined, e.g., in 3+1 dimensions. The SCS density employed here is defined in terms of the pair of SO(2)× SO(2) gauge fields and an auxiliary O(5) Skyrme scalar, which is contracted to an effective O(3) Skyrme scalar. Technically, this study maps the methods to be applied in higher dimensional examples.