On subdivision invariant actions for random surfaces
B. Durhuus, T. Jonsson
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.
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