Poincare gauge invariance and gravitation in Minkowski spacetime

TL;DR

This paper develops a formulation of Poincare gauge invariance within Minkowski spacetime, introducing gauge fields and analyzing their impact on the renormalization of various fields, providing a foundation for gauge theories of gravity.

Contribution

It presents a novel approach to incorporate Poincare gauge symmetry as an inner symmetry in Minkowski spacetime, including gauge fields and their dynamics.

Findings

Poincare gauge transformations and covariant derivatives are formulated.

Renormalization properties of scalar, spinor, and vector fields are analyzed.

A minimal gauge field dynamics consistent with renormalization constraints is proposed.

Abstract

A formulation of Poincare symmetry as an inner symmetry of field theories defined on a fixed Minkowski spacetime is given. Local P gauge transformations and the corresponding covariant derivative with P gauge fields are introduced. The renormalization properties of scalar, spinor and vector fields in P gauge field backgrounds are determined. A minimal gauge field dynamics consistent with the renormalization constraints is given.