Quantizable non-local gravity

TL;DR

This paper proposes a novel gauge-theoretic formulation of general relativity that avoids using a metric or tetrad, introduces non-locality, and appears to be renormalizable, with derived Feynman vertices.

Contribution

It introduces a non-local gauge theory approach to general relativity, bypassing traditional metric or tetrad fields, and suggests potential renormalizability.

Findings

The theory is seemingly renormalizable.

Feynman vertices for the non-local gravity are derived.

The approach simplifies the gauge structure of gravity.

Abstract

It's widely recognized that general relativity emerges if we impose invariance under local translations and local Lorentz transformations. In the same manner supergravity arises when we impose invariance under local supersymmetry. In this paper we show how to treat general relativity as a common gauge theory, without introducing a metric or a tetrad field. The price to pay for such simplification is the acceptance of non-locality. At first glance the resulting theory seems renormalizable. Finally we derive Feynman vertices for such theory.