No Cover Image

Journal article 401 views

Double scaling limits in gauge theories and matrix models / Gaetano Bertoldi; J.Luis Miramontes; Timothy Hollowood

Journal of High Energy Physics, Volume: "06", Issue: 06, Pages: 045 - 045

Swansea University Author: Timothy, Hollowood

Full text not available from this repository: check for access using links below.

Abstract

We show that $\N=1$ gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where $N$ is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that the theory is near an Argyres-Douglas-type singularity where a...

Full description

Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2006
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28528
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract: We show that $\N=1$ gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where $N$ is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that the theory is near an Argyres-Douglas-type singularity where a set of non-local dibaryons becomes massless in conjunction with a set of confining strings becoming tensionless. The doubly-scaled theory consists of two decoupled sectors, one whose spectrum and interactions follow the usual large-N scaling whilst the other has light states of fixed mass in the large-N limit which subvert the usual large-N scaling and lead to an interacting theory in the limit. $F$-term properties of this interacting sector can be calculated using a Dijkgraaf-Vafa matrix model and in this context the double-scaling limit is precisely the kind investigated in the old matrix model'' to describe two-dimensional gravity coupled to $c<1$ conformal field theories. In particular, the old matrix model double-scaling limit describes a sector of a gauge theory with a mass gap and light meson-like composite states, the approximate Goldstone boson of superconformal invariance, with a mass which is fixed in the double-scaling limit. Consequently, the gravitational $F$-terms in these cases satisfy the string equation of the KdV
College: College of Science
Issue: 06
Start Page: 045
End Page: 045