Physics – Condensed Matter
Scientific paper
1999-05-17
Phys. Lett. A 267, 201 (2000)
Physics
Condensed Matter
RevTex, 9 pages, 1 figure
Scientific paper
10.1016/S0375-9601(00)00051-7
The effect of quantum fluctuations on a nearly flat, nonrelativistic two-dimensional membrane with extrinsic curvature stiffness and tension is investigated. The renormalization group analysis is carried out in first-order perturbative theory. In contrast to thermal fluctuations, which soften the membrane at large scales and turn it into a crumpled surface, quantum fluctuations are found to {\em stiffen} the membrane, so that it exhibits a Hausdorff dimension equal to two. The large-scale behavior of the membrane is further studied at finite temperature, where a nontrivial fixed point is found, signaling a crumpling transition.
Borelli M. E. S.
Kleinert Hagen
Schakel Adriaan M. J.
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