Fractal structure of the effective action in (quasi-) planar models with long-range interactions

TL;DR

This paper explores the fractal structure of the effective potential in planar models with long-range interactions, revealing an infinite tower of bound states relevant for materials like superconductors and graphite.

Contribution

It introduces the derivation of the effective potential with a fractal structure in (quasi-) planar models with long-range interactions, linking it to physical phenomena.

Findings

Fractal, multi-branched structure of the effective potential.

Presence of an infinite tower of excitonic bound states.

Relevance to high-temperature superconductors and graphite.

Abstract

We derive the effective potential for composite fields in a class of (quasi-) planar models with long-range interactions. This class of models can be relevant for high temperature superconductors and graphite. The fractal structure of the effective potential is revealed and its physical interpretation is presented. It is argued that the multi-branched fractal structure of the potential reflects the presence of an infinite tower of excitonic bound states that occur as a result of the long-range interactions.