The Fuzzy Onion: An Initial Study

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.

Comments: Contribution to the proceedings of the Corfu Summer Institute 2023: "School and Workshops on Elementary Particle Physics and Gravity"