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Stability of random surfaces
Phys. Rev. D 41, 3086 – Published 15 May, 1990
DOI: https://doi.org/10.1103/PhysRevD.41.3086
Abstract
The interaction of two-dimensional quantum gravity with a set of conformal matter fields is considered. Following an earlier suggestion by Cates, we calculate the free energy of a "spiky" Liouville field configuration at a fixed value of the proper-time cutoff and including lowest-order quantum corrections. This free energy becomes arbitrarily large negative as soon as the central charge of the matter fields is larger than unity.
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