Two-dimensional O(3) model coupled to two-dimensional quantum gravity

C. F. Baillie, D. A. Johnston

Research output: Contribution to journalArticlepeer-review


It has been suggested that the peak in the specific heat observed numerically for random surface actions with extrinsic curvature on dynamical lattices might be the result of a low mass bound state in an asymptotically free theory, rather than the signal for a real phase transition. The O(3) model on a fixed lattice displays just such behavior, but in general peaks appear to be weakened when the models concerned are put on dynamical lattices (i.e., coupled to two-dimensional quantum gravity). We therefore perform simulations of the O(3) model on dynamical 3 graphs to see if there is still a peak in the specific heat and compare the results with those on fixed lattices. © 1994 The American Physical Society.

Original languageEnglish
Pages (from-to)R603-R606
JournalPhysical Review D - Particles and Fields
Issue number2
Publication statusPublished - 1994


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