O(n) VECTOR MODEL ON A PLANAR RANDOM LATTICE: SPECTRUM OF ANOMALOUS DIMENSIONS-Reference-Cited by-同舟云学术

O(n) VECTOR MODEL ON A PLANAR RANDOM LATTICE: SPECTRUM OF ANOMALOUS DIMENSIONS

Published:1989-02 Issue:03 Volume:04 Page:217-226
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

KOSTOV I. K.¹

Affiliation:

1. Service de Physique, Théorique de Saclay, F-91191, Gif-sur-Yvette, Cedex, France

Abstract

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 ≤ n ≤ 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732389000289

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