Baryons in Massive Gross-Neveu Models

Details Baryons in Massive Gross-Neveu Models Baryons in Massive Gross-Neveu Models

2005-02-23

arxiv.org/abs/hep-th/0502210v2

Phys.Rev. D71 (2005) 105008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figure, revtex; v2: comments on the relationship to (bi-)polarons in conducting polymers and 2 references added

Scientific paper

10.1103/PhysRevD.71.105008

Baryons in the large N limit of (1+1)-dimensional Gross-Neveu models with either discrete or continuous chiral symmetry have long been known. We generalize their construction to the case where the symmetry is explicitly broken by a bare mass term in the Lagrangian. In the discrete symmetry case, the exact solution is found for arbitrary bare fermion mass, using the Hartree-Fock approach. It is mathematically closely related to polarons and bipolarons in conducting polymers. In the continuous symmetry case, a derivative expansion allows us to rederive a formerly proposed Skyrme-type model and to compute systematically corrections to the leading order description based on an effective sine-Gordon theory.

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