On Torsion Fields in Higher Derivative Quantum Gravity

TL;DR

This paper investigates axial torsion fields in higher derivative quantum gravity, revealing their spin and mass states, formulating their first-order dynamics, and exploring their interactions with electromagnetic fields.

Contribution

It introduces a first-order formalism for torsion fields, providing projection operators for spin and mass states, and discusses their effective electromagnetic interactions.

Findings

Torsion fields have states with spins 1 and 0 with different masses.

A first-order Lagrangian and energy-momentum tensor for torsion fields are derived.

The interaction of torsion fields with electromagnetic fields is analyzed.

Abstract

We consider axial torsion fields which appear in higher derivative quantum gravity. It is shown, in general, that the torsion field possesses states with two spins, one and zero, with different masses. The first-order formulation of torsion fields is performed. Projection operators extracting pure spin and mass states are given. We obtain the Lagrangian in the framework of the first order formalism and energy-momentum tensor. The effective interaction of torsion fields with electromagnetic fields is discussed. The Hamiltonian form of the first order torsion field equation is given.