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

Abstract

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.

5 pages, 3 eps figures (revtex 4), v2: minor corrections. Details of calculations now appear in hep-th/0305240 v3: version accepted for publication in Physics Letters B, includes a simplified formula for the profile of the heavier soliton plus some additional minor changes

References in corpus (2)

• All about the Static Fermion Bags in the Gross-Neveu Model
• 2d Model Field Theories at Finite Temperature and Density

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