[Submitted on 27 Aug 2015] (cross-list from hep-th)
SU(N) Multi-Skyrmions at Finite Volume
Fabrizio Canfora🇨🇱 · Marco Di Mauro🇮🇹 · Maxim A. Kurkov🇮🇹 · Adele Naddeo🇮🇹
We study multi-soliton solutions of the four-dimensional SU(N) Skyrme model by combining the hedgehog ansatz for SU(N) based on the harmonic maps of into and a geometrical trick which allows to analyze explicitly finite-volume effects without breaking the relevant symmetries of the ansatz. The geometric setup allows to introduce a parameter which is related to the 't Hooft coupling of a suitable large limit, in which and the curvature of the background metric approaches zero, in such a way that their product is constant. The relevance of such a parameter to the physics of the system is pointed out. In particular, we discuss how the discrete symmetries of the configurations depend on it.
- Comments:
- 29 pages, 7 figures, minor changes, matches published version
- Subjects:
- High Energy Physics — Theory (hep-th); High Energy Physics — Phenomenology (hep-ph); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th)
- arXiv:
- 1508.07055 [pdf]