A scenario for the c>1 barrier in non-critical bosonic strings

Details A scenario for the c>1 barrier in non-critical bosonic strings A scenario for the c>1 barrier in non-critical bosonic strings

1996-10-07

arxiv.org/abs/hep-th/9610037v3

Nucl.Phys. B487 (1997) 633-649

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, REVTeX3.0 + epsf, 10 figures. 1 reference added. To appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(96)00716-X

The c<1 and c>1 matrix models are analyzed within large N renormalization group, taking into account touching (or branching) interactions. The c<1 modified matrix model with string exponent gamma>0 is naturally associated with an unstable fixed point, separating the Liouville phase (gamma<0) from the branched polymer phase (gamma=1/2). It is argued that at c=1 this multicritical fixed point and the Liouville fixed point coalesce, and that both fixed points disappear for c>1. In this picture, the critical behavior of c>1 matrix models is generically that of branched polymers, but only within a scaling region which is exponentially small when c -> 1. It also explains the behavior of multiple Ising spins coupled to gravity. Large crossover effects occur for c-1 small enough, with a c ~ 1 pseudo-scaling which explains numerical results.

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