NON-UNIVERSALITY IN DYNAMICALLY TRIANGULATED RANDOM SURFACES WITH EXTRINSIC CURVATURE

Earlier simulations of dynamically triangulated random surfaces with a pure Gaussian (Polyakov) action have suggested that the incorporation of a term which is equivalent to the square of the scalar curvature, R 2 , in the continuum can affect the properties of the surfaces, despite the fact that such a term appears to be irrelevant on dimensional grounds. However, simulations by the current authors and Catterall of dynamically triangulated random surfaces with extrinsic curvature produced essentially identical results despite differing coefficients for the R 2 term. In this short note we show that small (positive or negative) values of this coefficient have little effect but that large values to produce measurable effects. This explains the concordance of our previous results with Catterall’s and also provides evidence for non-universal behavior in the random surface model.