A model for gauged skyrmions with low binding energies

authored by

Josh Cork, Derek Harland, Thomas Winyard

Abstract

We consider gauged skyrmions with boundary conditions which break the gauge from SU(2) to U(1) in models derived from Yang-Mills theory. After deriving general topological energy bounds, we approximate charge 1 energy minimisers using KvBLL calorons with non-trivial asymptotic holonomy, use them to calibrate the model to optimise the ratio of energy to lower bound, and compare them with solutions to full numerical simulation. Skyrmions from calorons with non-trivial asymptotic holonomy exhibit a non-zero magnetic dipole moment, which we calculate explicitly, and compare with experimental values for the proton and the neutron. We thus propose a way to develop a physically realistic Skyrme-Maxwell theory, with the potential for exhibiting low binding energies.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

University of Leeds
University of Kent

Type

Artikel

Journal

Journal of Physics A: Mathematical and Theoretical

Volume

55

No. of pages

37

ISSN

1751-8113

Publication date

07.01.2022

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Statistische und nichtlineare Physik, Statistik und Wahrscheinlichkeit, Modellierung und Simulation, Mathematische Physik, Physik und Astronomie (insg.)

Electronic version(s)

https://doi.org/10.1088/1751-8121/ac3c81 (Access: Offen)
https://doi.org/10.1088/1751-8121/ac71ec (Access: Offen)