On subdivision invariant actions for random surfaces

Bergfinnuur Durhuus*, Thordur Jonsson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)

Abstract

We consider a subdivision invariant action for dynamically triangulated random surfaces that was recently proposed by Ambartzumian et al. 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.

Original languageEnglish
Pages (from-to)271-274
Number of pages4
JournalPhysics Letters B
Volume297
Issue number3-4
DOIs
Publication statusPublished - 31 Dec 1992

Bibliographical note

Funding Information:
The area action has the nice feature that it is subdivision invariant, i.e., if we have a triangulated surface imbedded in R d and refine the triangulation by adding new vertices and links that lie in the original surface then the action does not change. This implies that two surfaces which are "close to each other" in imbedding space have almost the same action. In other words, the area action is a continuous function =~ on the space of imbedded triangulated surfaces. The gaussian ac- * Supported in part by a NATO Science collaboration grant. ~l This notion of continuity can of course be made precise but for our present purposes this is not necessary.

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