Abstract
We study a rigid bubble, which is embedded in the continuum Euclidean space as a triangulated spherical random surface and whose action has an extrinsic curvature (or a rigidity) term in addition to the higher derivative gravity action. The crumpling phase transition is numerically investigated. It is found that the order of the phase transition is higher than or equal to 2. The Hausdorff dimension H in the smooth phase is H ~ 2, while in the crumpled phase, H remains finite in the neighborhood of the transition point and grows infinitely as the rigidity coupling goes to zero.
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