Quantum Gravity on the Classical Background: Group Analysis, Part II

TL;DR

This paper develops a method for quantizing the gravitational field near arbitrary Einstein solutions, calculating second-order perturbations and deriving quantum corrections and Hamiltonian expressions.

Contribution

It introduces a novel approach to quantum gravity on classical backgrounds by explicitly computing second-order perturbations and quantum corrections.

Findings

Derived explicit second-order perturbation expressions.

Presented quantum corrections to the gravitational field operator.

Provided a detailed form of the Hamiltonian for the quantized field.

Abstract

Quantization of gravitational field in the neighbourhood of arbitrary nontrivial solution of Einstein equations is considered, the 2nd order of perturbation theory is calculated. The expression for quantum corrections of the field operator and explicit view of Hamiltonian are represented.