The noncommutative sine-Gordon breather
High Energy Physics - Theory
2015-05-13 v1 Mathematical Physics
math.MP
Abstract
As shown in [hep-th/0406065], there exists a noncommutative deformation of the sine-Gordon model which remains (classically) integrable but features a second scalar field. We employ the dressing method (adapted to the Moyal-deformed situation) for constructing the deformed kink-antikink and breather configurations. Explicit results and plots are presented for the leading noncommutativity correction to the breather. Its temporal periodicity is unchanged.
Keywords
Cite
@article{arxiv.0811.1048,
title = {The noncommutative sine-Gordon breather},
author = {Andre Fischer and Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:0811.1048},
year = {2015}
}
Comments
1+9 pages, 2 figures