Determinant for the Coulomb potential on the three-sphere

TL;DR

This paper computes the functional determinant for a Coulomb potential on a three-sphere using numerical methods, providing insights into quantum effects in curved spaces.

Contribution

It introduces a numerical approach to evaluate the functional determinant for Coulomb potentials on a three-sphere, a problem with applications in quantum physics.

Findings

Numerical values of the functional determinant obtained.

Method demonstrates accuracy and applicability.

Potential implications for quantum field theory in curved spaces.

Abstract

The functional determinant for a Coulomb potential (or mass squared) on a three-sphere is computed numerically.