Locality and causality in perturbative AQFT

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.

21 pages, 1 figure, to be published in the proceedings of ICMP 2018