The noncommutative sine-Gordon breather

Details The noncommutative sine-Gordon breather The noncommutative sine-Gordon breather

2008-11-06

arxiv.org/abs/0811.1048v1

Physics

High Energy Physics

High Energy Physics - Theory

1+9 pages, 2 figures

Scientific paper

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.

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