Marginally Stable Topologically Non-Trivial Solitons in the Gross-Neveu Model

Details Marginally Stable Topologically Non-Trivial Solitons in the Gross-Neveu Model Marginally Stable Topologically Non-Trivial Solitons in the Gross-Neveu Model

2002-09-13

arxiv.org/abs/hep-th/0209108v3

Phys.Lett. B569 (2003) 204-210

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 3 eps figures (revtex 4), v2: minor corrections. Details of calculations now appear in hep-th/0305240 v3: version acc

Scientific paper

10.1016/j.physletb.2003.07.037

We show that a kink and a topologically trivial soliton in the Gross-Neveu model form, in the large-N limit, a marginally stable static configuration, which is bound at threshold. The energy of the resulting composite system does not depend on the separation of its solitonic constituents, which serves as a modulus governing the profile of the compound soliton. Thus, in the large-N limit, a kink and a non-topological soliton exert no force on each other.

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