Kinks and bound states in the Gross-Neveu model

Journal Article · Sat Apr 15 00:00:00 EDT 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.4503· OSTI ID:6475924

Feinberg, J ^[1]

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

We investigate static space-dependent [sigma]([ital x])=[l angle][bar [psi]][psi][r angle] saddle point configurations in the two-dimensional Gross-Neveu model in the large [ital N] limit. We solve the saddle point condition for [sigma]([ital x]) explicitly by employing supersymmetric quantum mechanics and using simple properties of the diagonal resolvent of one-dimensional Schroedinger 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.

• OSTI ID: 6475924
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 51:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM MECHANICS
SUPERSYMMETRY
SADDLE-POINT METHOD
BOUND STATE
FIELD THEORIES
SCHROEDINGER PICTURE
SYMMETRY BREAKING
TWO-DIMENSIONAL CALCULATIONS
CALCULATION METHODS
MECHANICS
SYMMETRY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)