QFT on curved spacetimes: axiomatic framework and examples

TL;DR

This paper introduces an axiomatic framework for quantum field theory on curved spacetimes, emphasizing local properties and providing new insights applicable to both curved and flat spacetime models.

Contribution

It reformulates standard QFT to incorporate local properties, offering a new perspective and a comprehensive introduction suitable for physicists and mathematicians.

Findings

Framework emphasizes local properties of QFT

Reformulation applicable to curved and Minkowski spacetimes

Accessible introduction for diverse audiences

Abstract

In this overview article we present a formalism suitable for constructing models of QFT's on curved spacetimes. The leading principle is the emphasis on local properties. It turns out that this requires a reformulation of the standard QFT framework which also yields a new perspective for the theories on Minkowski space. The aim of the present work is to provide an introduction into the framework, which should be accessible for both mathematical physicists and mathematicians.