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Nonlinear superposition law and Skyrme crystals

Fabrizio Canfora
(
- CECS, Valdivia and
- Andres Bello Natl. U.
)

Jun 30, 2013

8 pages

Published in:

Phys.Rev.D 88 (2013) 6, 065028

Published: Sep 25, 2013

e-Print:

1307.0211 [hep-th]

DOI:

10.1103/PhysRevD.88.065028

View in:

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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)

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