On the finiteness of a new topological model in D=3

TL;DR

This paper introduces a new three-dimensional topological model extending the BF-model, demonstrating its quantum scale invariance and finiteness at all perturbative orders through algebraic renormalization.

Contribution

It presents the BFK-model, a 3D extension of a 2D model, proving its full finiteness and scale invariance at all orders.

Findings

The BFK-model is quantum scale invariant at all orders.

The model is proven to be fully finite using algebraic renormalization.

It extends the 2D model by Chamseddine and Wyler to three dimensions.

Abstract

A new topological model is proposed in three dimensions as an extension of the BF-model. It is a three-dimensional counterpart of the two-dimensional model introduced by Chamseddine and Wyler ten years ago. The BFK-model, as we shall call it, shows to be quantum scale invariant at all orders in perturbation theory. The proof of its full finiteness is given in the framework of algebraic renormalization.