Quantum R Gravity in Two Dimensions

Abstract

Two-dimensional quantum gravity with an R2 term is investigated in the continuum framework. It is shown that the partition function for small area A is highly suppressed by an exponential factor exp{−2π(1 − h)2/(m2A)}, where 1/m2 is the coefficient (times 32π) of R2 and h is the genus of the surface. Although positivity is violated, at a short distance… (More)

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