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An order-parameter theory of the crumpling transition in D-dimensional polymerized membranes embedded in d dimensions is developed. Within mean-field theory, we show how self-avoidance modifies the behavior at the second-order crumpling transition. Fluctuations drive the transition first order to lowest order in =4-D, for d<d₂219.
Paczuski et al. (Mon,) studied this question.