A scenario for the c > 1 barrier in noncritical bosonic strings
Abstract
The c ⩽ 1 and c > 1 matrix models are analyzed within the large N renormalization group taking into account touching (or branching) interactions. The c < 1 modified matrix model with string exponent overlineγ > 0 is naturally associated with an unstable fixed point, separating the Liouville phase ( γ < 0) from the branched polymer phase ( γ = {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. Large crossover effects occur for c  1 small enough, with a c ̃ 1 pseudoscaling which explains the numerical results.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(96)00716X
 arXiv:
 arXiv:hepth/9610037
 Bibcode:
 1997NuPhB.487..633D
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20 pages, REVTeX3.0 + epsf, 10 figures. 1 reference added. To appear in Nucl. Phys. B