Quantum properties of the polytopic action in some simple geometries

E. Alvarez, J. Céspedes, E. Verdaguer

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)


The partition function corresponding to the "polytopic" action, a new action for the gravitational interaction which we have proposed recently, is computed in the simplest two-dimensional geometries of genus zero and one. The functional integral over the Liouville field is approximated by an ordinary integral over the constant zero mode. We study the dependence on both the coupling constant and the cosmological constant, and compare with recent scaling results in standard two-dimensional quantum gravity. © 1993.
Original languageEnglish
Pages (from-to)225-234
JournalPhysics Letters B
Issue number3-4
Publication statusPublished - 29 Apr 1993


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