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Two-dimensional O(3) model coupled to two-dimensional quantum gravity
Phys. Rev. D 49, R603(R) – Published 15 January, 1994
DOI: https://doi.org/10.1103/PhysRevD.49.R603
Abstract
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 graphs to see if there is still a peak in the specific heat and compare the results with those on fixed lattices.
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