Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1991-11-02
Phys.Lett.B279:47-52,1992
Physics
High Energy Physics
High Energy Physics - Theory
11 pages
Scientific paper
10.1016/0370-2693(92)91838-Z
In low dimensions, conformal anomaly has profound influence on the critical behavior of random surfaces with extrinsic curvature rigidity $1/\a$. We illustrate this by making a small $D$ expansion of rigid random surfaces, where a non-trivial infra-red fixed point is shown to exist. We speculate on the renormalization group flow diagram in the $(\a,D)$ plane. We argue that the qualitative behavior of numerical simulations in $D=3, 4$ could be understood on the basis of the phase diagram.
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