Calculation of the determinant in the Wheeler-De Witt equation

TL;DR

This paper introduces a novel approach to computing the determinant in the Wheeler-De Witt equation, utilizing a method inspired by the Riemann-zeta function regularization, offering an alternative to traditional techniques.

Contribution

It proposes a new method for determinant calculation in the Wheeler-De Witt equation, diverging from the conventional Riemann-zeta regularization approach.

Findings

Demonstrates the feasibility of the new determinant computation method.

Provides comparative analysis with existing regularization techniques.

Enhances understanding of quantum gravity equations.

Abstract

The Riemann-zeta function regularization procedure has been studied intensively as a good method in the computation of the determinant for pseudo-diferential operator. In this paper we propose a different approach for the computation of the determinant base on the Wheeler-De Witt equation.