Cosmological constant and Euclidean space from nonperturbative quantum torsion

TL;DR

This paper applies nonperturbative quantum gravity techniques to show that quantum torsion can induce a cosmological constant and Euclidean space solutions, highlighting quantum effects' role in cosmology.

Contribution

It introduces a nonperturbative quantization approach for gravity focusing on quantum torsion, leading to new insights into cosmological constant emergence.

Findings

Quantum torsion induces a cosmological constant.

Nonperturbative effects lead to Euclidean space solutions.

The metric remains classical while torsion is quantized.

Abstract

Heisenberg's nonperturbative quantization technique is applied to the nonpertrubative quantization of gravity. An infinite set of equations for all Green's functions is obtained. An approximation is considered where: (a) the metric remains as a classical field; (b) the affine connection can be decomposed into classical and quantum parts; (c) the classical part of the affine connection are the Christoffel symbols; (d) the quantum part is the torsion. Using a scalar and vector fields approximation it is shown that nonperturbative quantum effects gives rise to a cosmological constant and an Euclidean solution.