Fermions in conformally invariant geometrodynamics

TL;DR

This paper explores a conformally invariant extension of Einstein's equations, revealing that additional geometric fields can be interpreted as arising from fermionic degrees of freedom, affecting particle helicity probabilities.

Contribution

It introduces a new conformally invariant framework where geometric fields are linked to fermionic sources, providing a novel interpretation of these fields in gravitational theories.

Findings

Fields can be interpreted as generated by bispinor degrees of freedom

Vacuum polarization affects helicity particle generation probabilities

The model extends Einstein equations with additional geometrical fields

Abstract

Dynamic equations that are the simplest conformally invariant generalization of Einstein equations with cosmological term are considered. Dimensions and Weyl weights of the additional geometrical fields (the vector and the antisymmetric tensor) appearing in the scheme are such, that they admit an unexpected interpretation. It is proved that the fields can be interpreted as observed, generated by bispinor degrees of freedom. The vacuum polarization density matrix leads to different probabilities of different helicity particle generation.