Smooth Random Surfaces from Tight Immersions?

Abstract

We investigate actions for dynamically triangulated random surfaces that consist of a gaussian or area term plus the {\it modulus} of the gaussian curvature and compare their behavior with both gaussian plus extrinsic curvature and ``Steiner'' actions.

7 pages

References in corpus (5)

• 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
• Steiner Variations on Random Surfaces
• Crossover Between Weakly and Strongly Self-avoiding Random Surfaces

Cited by in corpus (5)

• Phase transitions of a tethered membrane model on a torus with intrinsic curvature
• Phase transitions of a tethered surface model with a deficit angle term
• Freezing a Fluid Random Surface
• Phase structure of intrinsic curvature models on dynamically triangulated disk with fixed boundary length
• Phase transitions of an intrinsic curvature model on dynamically triangulated spherical surfaces with point boundaries