Solvable supersymmetric continuum model in arbitrary dimensions

Journal Article · Mon Jan 24 04:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.442· OSTI ID:5323005

Kuramoto, Y ^[1]; Zittartz, J ^[2]

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1. Department of Physics, Tohoku University, Sendai 980 (Japan)
2. Institute for Theoretical Physics, University of Cologne, Cologne (Germany)

A new continuum model for hard-core fermions with [nu] colors is presented and solved exactly in arbitrary dimensions. The model has the SU([nu],1) supersymmetry in an exchange interaction and a kinetic-energy part. Through a renormalization to regularize operator products at short distances, free SU([nu]) fermions emerge as eigenstates of the model. This corresponds to a nonrelativistic and supersymmetric version of the equivalence of SU([nu])[times]SU([nu]) Wess-Zumino-Witten Lagrangian to free relativistic fermions.

• OSTI ID: 5323005
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:4; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661310* -- Relativity & Gravitation-- (1992-)
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
EIGENSTATES
ENERGY
EXCHANGE INTERACTIONS
HARD-CORE POTENTIAL
INTERACTIONS
KINETIC ENERGY
MATHEMATICAL MODELS
NUCLEAR POTENTIAL
OPERATOR PRODUCT EXPANSION
PARTICLE MODELS
POTENTIALS
RENORMALIZATION
SERIES EXPANSION
SUPERSYMMETRY
SYMMETRY