Gauge gravity vacuum in constraintless Clairaut-type formalism

TL;DR

This paper explores a formalism for gauge gravity vacuum states, proposing a background curvature without torsion using Clairaut-type methods, and discusses implications for second quantization.

Contribution

It introduces a constraintless Clairaut-type formalism to analyze gauge gravity vacua, avoiding torsion and extending previous QCD methods to gravity.

Findings

Background curvature can be achieved without torsion.

Clairaut-type formalism is effective for gauge gravity analysis.

Implications for second quantization of gravity are discussed.

Abstract

The gauged Lorentz theory with torsion has been argued to have an effective theory whose non-trivial background is responsible for background gravitational curvature if torsion is treated as a quantum-mechanical variable against a background of constant curvature. We use the CDG decomposition to argue that such a background can be found without including torsion. Adapting our previously published Clairaut-based treatment of QCD, we go on to study the implications for second quantisation.