Surfaces with Long-Range Correlations from Non-Critical Strings

TL;DR

This paper demonstrates that a confining string theory model can produce smooth surfaces exhibiting long-range correlations in tangent vector components, due to a non-local, frustrated antiferromagnetic interaction with negative stiffness.

Contribution

It introduces a novel connection between confining string theory and surface correlations, highlighting the role of non-local, frustrated interactions in surface behavior.

Findings

Surfaces exhibit long-range correlations in tangent components.

Long-range correlations result from non-local, frustrated antiferromagnetic interactions.

Negative stiffness is key to the observed surface properties.

Abstract

We show that the recently proposed confining string theory describes smooth surfaces with long-range correlations for the normal components of tangent vectors. These long-range correlations arise as a consequence of a "frustrated antiferromagnetic" interaction whose two main features are non-locality and a negative stiffness.