O(n) vector model on a planar random lattice; spectrum of anomalous dimensions

Journal Article · Sun Jan 01 00:00:00 EST 1989 · Mod. Phys. Lett. A; (United States)

DOI:https://doi.org/10.1142/S0217732389000289· OSTI ID:5761618

Kostov, I K

The O(n) model on a two-dimensional dynamical random lattice is reformulated as a random matrix problem. The critical properties of the model are encoded in the spectral density of the random matrix which satisfies an integral equation with Cauchy kernel. The analysis of its singularities shows that the model can be critical for - 2 /le/ eta /le/ 2 and allows the determination of the anomalous dimensions of an infinite series of magnetic operators. The results coincide with those found in Ref. 11 for 2d quantum gravity.

• Research Organization: Institute for Nuclear Research and Nuclear Energetics, Sofia (Bulgaria)
• OSTI ID: 5761618
• Journal Information: Mod. Phys. Lett. A; (United States), Vol. 4:3
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
LATTICE FIELD THEORY
QUANTUM GRAVITY
VECTOR FIELDS
INTEGRAL EQUATIONS
CAUCHY PROBLEM
R MATRIX
TWO-DIMENSIONAL CALCULATIONS
EQUATIONS
FIELD THEORIES
MATRICES
QUANTUM FIELD THEORY
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