Kinks and bound states in the Gross-Neveu model

Joshua Feinberg
Phys. Rev. D 51, 4503 – Published 15 April 1995
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Abstract

We investigate static space-dependent σ(x)=〈ψ¯ψ〉 saddle point configurations in the two-dimensional Gross-Neveu model in the large N limit. We solve the saddle point condition for σ(x) explicitly by employing supersymmetric quantum mechanics and using simple properties of the diagonal resolvent of one-dimensional Schrödinger operators rather than inverse scattering techniques. The resulting solutions in the sector of unbroken supersymmetry are the Callan-Coleman-Gross-Zee kink configurations. We thus provide a direct and clean construction of these kinks. In the sector of broken supersymmetry we derive the DHN saddle point configurations. Our method of finding such nontrivial static configurations may be applied also in other two-dimensional field theories.

  • Received 29 August 1994

DOI:https://doi.org/10.1103/PhysRevD.51.4503

©1995 American Physical Society

Authors & Affiliations

Joshua Feinberg

  • Theory Group, Department of Physics, The University of Texas at Austin, RLM5.208, Austin, Texas 78712
  • Theory Group, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510

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Vol. 51, Iss. 8 — 15 April 1995

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