The Fuzzy Onion: An Initial Study

TL;DR

This paper presents a numerical simulation of scalar field theory on the fuzzy onion, a 3D quantum space with a novel radial derivative, analyzing layer interactions and physical properties.

Contribution

It introduces a numerical approach to study scalar fields on the fuzzy onion, highlighting the role of the radial derivative in the continuum limit.

Findings

Layer interactions influence scalar field behavior

Radial derivative ensures correct continuum limit

Numerical results support theoretical predictions

Abstract

In our previous contribution, we introduced a matrix formulation of a three-dimensional quantum space named the fuzzy onion. The novel part of the construction is the radial derivative term, which has been defined to recover the correct continuum limit. Here, we describe a numerical simulation of the scalar field theory in this space and test some physical properties of the model with emphasis on the interaction between neighbouring layers.