Steiner Variations on Random Surfaces

Abstract

Ambartzumian et.al. suggested that the modified Steiner action functional had desirable properties for a random surface action. However, Durhuus and Jonsson pointed out that such an action led to an ill-defined grand-canonical partition function and suggested that the addition of an area term might improve matters. In this paper we investigate this and other related actions numerically for dynamically triangulated random surfaces and compare the results with the gaussian plus extrinsic curvature actions that have been used previously.

8 pages

References in corpus (3)

• The Theory of Dynamical Random Surfaces with Extrinsic Curvature
• The Phase Diagram of Fluid Random Surfaces with Extrinsic Curvature
• On subdivision invariant actions for random surfaces

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• Phase transition of surface models with intrinsic curvature
• Phase transitions of a tethered surface model with a deficit angle term
• Scaling in Steiner Random Surfaces
• Freezing a Fluid Random Surface
• Smooth Random Surfaces from Tight Immersions?
• Phase structure of intrinsic curvature models on dynamically triangulated disk with fixed boundary length
• Phase transitions in a fluid surface model with a deficit angle term
• Phase transitions of an intrinsic curvature model on dynamically triangulated spherical surfaces with point boundaries
• First-order phase transition of triangulated surfaces on a spherical core
• Shape transformations of a model of self-avoiding triangulated surfaces of sphere topology