Defect structures in sine-Gordon-like models

Details Defect structures in sine-Gordon-like models Defect structures in sine-Gordon-like models

2004-11-22

arxiv.org/abs/hep-th/0411197v4

Physica D208 (2005) 236-256

Physics

High Energy Physics

High Energy Physics - Theory

RevTex, 18 pages, 17 figures; Version to appear in Physica D

Scientific paper

10.1016/j.physd.2005.07.004

We investigate several models described by real scalar fields, searching for topological defects. Some models are described by a single field, and support one or two topological sectors, and others are two-field models, which support several topological sectors. Almost all the defect structures that we find are stable and finite energy solutions of first-order differential equations that solve the corresponding equations of motion. In particular, for the double sine-Gordon model we show how to find small and large BPS solutions as deformations of the BPS solution of the $\phi^4$ model. And also, for most of the two field models we find the corresponding integrating factors, which lead to the complete set of BPS solutions, nicely unveiling how they bifurcate among the several topological sectors.

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