The phase diagram of an Ising model on a polymerized random surface

Abstract

We construct a random surface model with a string susceptibility exponent one quarter by taking an Ising model on a random surface and introducing an additional degree of freedom which amounts to allowing certain outgrowths on the surfaces. Fine tuning the Ising temperature and the weight factor for outgrowths we find a triple point where the susceptibility exponent is one quarter. At this point magnetized and nonmagnetized gravity phases meet a branched polymer phase.

Latex file, 10 pages, macros included. Two EPS figures

References in corpus (4)

• Touching Random Surfaces and Liouville Gravity
• Multi-spin systems on a randomly triangulated surface
• A Solvable 2D Quantum Gravity Model with $\GAMMA >0$
• A Universal Fractal Structure of 2D Quantum Gravity for c > 1

Cited by in corpus (5)

• A scenario for the c>1 barrier in non-critical bosonic strings
• Correlation Functions in the Multiple Ising Model Coupled to Gravity
• Recent progress in the theory of random surfaces and simplicial quantum gravity
• The Hausdorff dimension in polymerized quantum gravity
• Branched polymers, complex spins and the freezing transition