Branched polymers, complex spins and the freezing transition

Abstract

We show that by coupling complex three-state systems to branched-polymer like ensembles we can obtain models with gamma-string different from one half. It is also possible to study the interpolation between dynamical and crystalline graphs for these models; we find that only when geometry fluctuations are completely forbidden is there a crystalline phase.

14 pages plain LateX2e, 4 eps figures included using epsf

References in corpus (4)

• Exact Solution of Discrete Two-Dimensional R^2 Gravity
• Phase transition in fluctuating branched geometry
• A scenario for the c>1 barrier in non-critical bosonic strings
• A simple model of dimensional collapse