The one-loop divergences of the linear gravity with the torsion terms in tetrad approach

TL;DR

This paper investigates one-loop divergences in linear gravity with torsion using the tetrad approach, deriving transition formulas and calculating counterterms, highlighting gauge choices that simplify quantum corrections.

Contribution

It provides explicit transition formulas between geometric and tetrad approaches and computes one-loop counterterms in a torsion-inclusive gravity model.

Findings

Derived transition formulas at one-loop level.

Calculated counterterms in tetrad formalism with torsion.

Identified gauge conditions reducing ghost contributions.

Abstract

In this paper we discuss the connection between the geometric and tetrad approaches in the quantum affine-metric gravity. The corresponding transition formulas are obtained at the one-loop level. As an example, the one-loop counterterms are calculated in the tetrad formalism in the theory with terms quadratic in the torsion field. This model possesses the extra local symmetries connected with transformation of the connection field. It is shown that the special gauge can be chosen so that the corresponding additional ghosts do not contribute to the one-loop divergent terms.