[Submitted on 24 Jul 2017] (cross-list from hep-th)
Integrability and chemical potential in the (3+1)-dimensional Skyrme model
P. D. Alvarez🇨🇱 · F. Canfora🇨🇱 · N. Dimakis🇨🇱 · A. Paliathanasis🇨🇱
Using a remarkable mapping from the original (3+1)dimensional Skyrme model to the Sine-Gordon model, we construct the first analytic examples of Skyrmions as well as of Skyrmions--anti-Skyrmions bound states within a finite box in 3+1 dimensional flat space-time. An analytic upper bound on the number of these Skyrmions--anti-Skyrmions bound states is derived. We compute the critical isospin chemical potential beyond which these Skyrmions cease to exist. With these tools, we also construct topologically protected time-crystals: time-periodic configurations whose time-dependence is protected by their non-trivial winding number. These are striking realizations of the ideas of Shapere and Wilczek. The critical isospin chemical potential for these time-crystals is determined.
- Comments:
- 15 pages; 1 figure; a discussion on the closeness to the topological bound as well as some clarifying comments on the semi-classical quantization have been included. Relevant references have been added. Version accepted for publication on Physics Letters B
- Subjects:
- High Energy Physics — Theory (hep-th); cond-mat.other (cond-mat.other); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th)
- arXiv:
- 1707.07421 [pdf]