Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 19 (2023), 051, 8 pages      arXiv:2301.03021      https://doi.org/10.3842/SIGMA.2023.051
Contribution to the Special Issue on Topological Solitons as Particles

A Skyrme Model with Novel Chiral Symmetry Breaking

Paul Sutcliffe
Department of Mathematical Sciences, Durham University, Durham DH1 3LE, UK

Received February 16, 2023, in final form July 21, 2023; Published online July 26, 2023

Abstract
An extension of the Skyrme model is presented in which derivative terms are added that break chiral symmetry to isospin symmetry. The theory contains just one new parameter and it reduces to the standard Skyrme model when this symmetry breaking parameter vanishes. The same Faddeev-Bogomolny energy bound applies for all parameter values, but the parameter can be tuned so that the energy of the single Skyrmion is much closer to the bound than in the standard Skyrme model. Applying the rational map approximation to multi-Skyrmions suggests that, for a suitable value of the symmetry breaking parameter, binding energies in this theory may be significantly more realistic than in the standard Skyrme model.

Key words: Skyrmions; chiral symmetry breaking.

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