Nonlinear superposition law and Skyrme crystals
Jun 30, 20138 pages
Published in:
- Phys.Rev.D 88 (2013) 6, 065028
- Published: Sep 25, 2013
e-Print:
- 1307.0211 [hep-th]
View in:
Citations per year
Abstract: (APS)
Exact configurations of the four-dimensional Skyrme model are presented. The static configurations have the profile. Which behaves as a kink and, consequently, the corresponding energy-momentum tensor describes a domain wall. Furthermore, a class of exact time-periodic Skyrmions is discovered. Within such a class, it is possible to disclose a remarkable phenomenon that is a genuine effect of the Skyrme term. For a special value of the frequency the Skyrmions admit a nonlinear superposition principle. One can combine two or more exact “elementary” Skyrmions (which may depend in a nontrivial way on all the spacelike coordinates) into a new exact composite Skyrmion. Because of such a superposition law, despite the explicit presence of nonlinear effects in the energy-momentum tensor, the interaction energy between the elementary Skyrmions can be computed exactly. The relations with the appearance of Skyrme crystals are discussed.Note:
- 13 pages, no figure. A discussion of the domain-wall behaviour of the static configurations has been included. A detailed analysis of the boundary conditions has been added. Version accepted for publication on Phys. Rev. D
- 12.39.Dc
- 05.45.Yv
- 11.10.Lm
- 11.27.+d
- effect: nonlinear
- tensor: energy-momentum
- energy: interaction
- dimension: 4
- Skyrmion
- crystal
References(46)
Figures(0)
- [1]
- [1]
- [1]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [19]
- [20]
- [21]
- [22]