Solitary Waves in Massive Nonlinear S^N-Sigma Models

Details Solitary Waves in Massive Nonlinear S^N-Sigma Models Solitary Waves in Massive Nonlinear S^N-Sigma Models

2010-02-09

arxiv.org/abs/1002.1932v1

SIGMA 6 (2010), 017, 22 pages

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.3842/SIGMA.2010.017

The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclinic trajectories) and non-topological (homoclinic trajectories) kinks. The stability of some embedded sine-Gordon kinks is discussed by means of the direct estimation of the spectra of the second-order fluctuation operators around them, whereas the instability of other topological and non-topological kinks is established applying the Morse index theorem.

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