# Locality and causality in perturbative AQFT

## TL;DR

This paper unifies different notions of locality and causality in quantum field theory through a non-abelian generalization of the Hammerstein property and extends the renormalization theorem without requiring field independence.

## Contribution

It introduces a non-abelian generalization of the Hammerstein property and generalizes the main renormalization theorem to include field dependence.

## Key findings

- Unified locality and causality notions in AQFT.
- Proved a generalized renormalization theorem.
- Extended theoretical framework without field independence.

## Abstract

In this paper we discuss how seemingly different notions of locality and causality in quantum field theory can be unified using a non-abelian generalization of the Hammerstein property (originally introduced as a weaker version of linearity). We also prove a generalization of the main theorem of renormalization, in which we do not require field independence.