Double scaling limits in gauge theories and matrix models
Mar, 2006
38 pages
Published in:
- JHEP 06 (2006) 045
e-Print:
- hep-th/0603122 [hep-th]
Report number:
- SWAT-06-459
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Abstract:
We show that gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where 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. -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 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 -terms in these cases satisfy the string equation of the KdV hierarchy.- large N limit
- double-scaling limits
- non-critical strings
- matrix model
- gauge field theory: Yang-Mills
- scaling
- supersymmetry
- superpotential
- expansion 1/N
- bibliography
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