Polarization of Instantons and Gravity

TL;DR

This paper proposes that gravity can emerge from a non-Abelian gauge theory through the polarization and condensation of instantons, leading to Einstein-like equations without dimensional coupling constants.

Contribution

It introduces a novel mechanism where polarized instanton condensates in gauge theory give rise to gravitational dynamics described by Riemann geometry.

Findings

Gravity emerges from gauge theory via instanton polarization.

Classical gauge field excitations satisfy Einstein equations.

No dimensional coupling constants are needed in the theory.

Abstract

Gravity can arise in a conventional non-Abelian gauge theory in which a specific phenomenon takes place. Suppose there is a condensation of polarized instantons and antiinstantons in the vacuum state. Then the excitations of the gauge field in the classical approximation are described through the variables of Riemann geometry satisfying the Einstein equations of general relativity. There are no dimensional coupling constants in the theory.