The XY model on a dynamical random lattice

Simon M. Catterall, John B. Kogut, Ray L. Renken

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We study the XY model on a lattice with fluctuating connectivity. The expectation is that at an appropriate critical point such a system corresponds to a compactified boson coupled to two-dimensional quantum gravity. Our simulations focus, in particular, on the important topological features of the system. The results lend strong support to the two-phase structure predicted on the basis of analytical calculations. A careful finite-size scaling analysis yields estimates for the scaling exponents in the low-temperature phase.

Original languageEnglish (US)
Pages (from-to)427-444
Number of pages18
JournalNuclear Physics, Section B
Issue number3
StatePublished - Nov 15 1993
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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