Towards UV Finite Quantum Field Theories from Non-Local Field Operators

TL;DR

This paper introduces a non-local quantum field theory model with smeared interactions, demonstrating UV finiteness at one loop and absence of UV/IR mixing, supported by explicit calculations and a new power counting formula.

Contribution

It proposes a novel non-local field operator framework with a power counting formula, showing UV finiteness and no UV/IR mixing at one loop.

Findings

One-loop graphs are finite with sufficient smearing.

The model's results agree with the proposed power counting formula.

UV/IR mixing is absent in the model.

Abstract

A non-local toy model whose interaction consists of smeared, non-local field operators is presented. We work out the Feynman rules and propose a power counting formula for arbitrary graphs. Explicit calculations for one loop graphs show that their contribution is finite for sufficient smearing and agree with the power counting formula. UV/IR mixing does not occur.