Super Yang-Mills theory as a random matrix model

Journal Article · Sat Jul 15 00:00:00 EDT 1995 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.52.1035· OSTI ID:69561

Siegel, W ^[1]

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1. Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794-3840 (United States)

We generalize the Gervais-Neveu gauge to four-dimensional {ital N}=1 superspace. The model describes an {ital N}=2 super Yang-Mills theory. All chiral superfields ({ital N}=2 matter and ghost multiplets) exactly cancel to all loops. The remaining Hermitian scalar superfield (matrix) has a renormalizable massive propagator and simplified vertices. These properties are associated with {ital N}=1 supergraphs describing a superstring theory on a random lattice world sheet. We also consider all possible finite matrix models, and find they have a universal large-color limit. These could describe gravitational strings if the matrix-model coupling is fixed to unity, for exact electric-magnetic self-duality.

• OSTI ID: 69561
• Journal Information: Physical Review, D, Vol. 52, Issue 2; Other Information: PBD: 15 Jul 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
YANG-MILLS THEORY
SUPERSTRING MODELS
FOUR-DIMENSIONAL CALCULATIONS
CHIRAL SYMMETRY
SCALAR FIELDS
RENORMALIZATION
PROPAGATOR
COUPLING
DUALITY
RANDOMNESS