On subdivision invariant actions for random surfaces

Abstract

We consider a subdivision invariant action for dynamically triangulated random surfaces that was recently proposed (R.V. Ambartzumian et. al., Phys. Lett. B 275 (1992) 99) and show that it is unphysical: The grand canonical partition function is infinite for all values of the coupling constants. We conjecture that adding the area action to the action of Ambartzumian et. al. leads to a well-behaved theory.

7 pages, Latex, RH-08-92 and YITP/U-92-31

Cited by in corpus (20)

• Interaction Hierarchy
• Phase Transition in Lattice Surface Systems with Gonihedric Action
• Evidence for a first order transition in a plaquette 3d Ising-like action
• Low temperature expansion of the gonihedric Ising model
• Dual Statistical Systems and Geometrical String
• Gonihedric 3D Ising Actions
• Steiner Variations on Random Surfaces
• String tension in gonihedric 3D Ising models
• Phase structure of four-dimensional gonihedric spin system
• Scaling in Steiner Random Surfaces
• Weyl Invariant Gonihedric Strings
• Alternative actions for quantum gravity and the intrinsic rigidity of the spacetime
• Loop transfer matrix and gonihedric loop diffusion
• Freezing a Fluid Random Surface
• Smooth Random Surfaces from Tight Immersions?
• The spectrum of a transfer matrix for loops
• Gonihedric String Equation II
• The Gonihedric Paradigm Extensions of the Ising Model
• Quantum gravity with linear action. Intrinsic rigidity of spacetime
• Three-dimensional Gonihedric Potts model