Interaction of instantons in a gauge theory forcing their identical orientation

TL;DR

This paper explores a gauge theory model where instantons interact to favor identical orientations, potentially leading to a phase transition that could describe gravity within gauge theory frameworks.

Contribution

It introduces a specific instanton interaction model with a minimum at identical orientations, suggesting a phase transition relevant for gravity modeling.

Findings

Effective action has a minimum at identical instanton orientations.

Interaction may induce a phase transition to a preferred orientation state.

Potential implications for describing gravity in gauge theories.

Abstract

A gauge theory model in which there exists a specific interaction between instantons is considered. An effective action describing this interaction possesses a minimum when the instantons have identical orientation. The considered interaction might provide a phase transition into the state where instantons have a preferred orientation. This phase of the gauge-field theory is important because it can give the description of gravity in the framework of the gauge theory.