Scaling in Steiner Random Surfaces

TL;DR

This paper investigates the scaling behavior of string tension and mass gap in a modified Steiner action on random surfaces, comparing it with other known surface actions to understand its properties.

Contribution

It introduces a variant of the Steiner action for random surfaces and analyzes its scaling properties, providing a comparison with existing models.

Findings

Scaling of string tension studied

Scaling of mass gap analyzed

Comparison with gaussian and extrinsic curvature actions

Abstract

It has been suggested that the modified Steiner action functional has desirable properties for a random surface action. In this paper we investigate the scaling of the string tension and massgap in a variant of this action on dynamically triangulated random surfaces and compare the results with the gaussian plus extrinsic curvature actions that have been used previously.