English

QFT on curved spacetimes: axiomatic framework and examples

Mathematical Physics 2020-07-27 v4 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1412.5125,
  title  = {QFT on curved spacetimes: axiomatic framework and examples},
  author = {Klaus Fredenhagen and Katarzyna Rejzner},
  journal= {arXiv preprint arXiv:1412.5125},
  year   = {2020}
}

Comments

54 pages, a review written for the Journal of Mathematical Physics. In this version, typos corrected

R2 v1 2026-06-22T07:33:53.519Z