Quantum fields in curved spacetime

S Hollands, RM Wald - Physics Reports, 2015 - Elsevier
We review the theory of quantum fields propagating in an arbitrary, classical, globally
hyperbolic spacetime. Our review emphasizes the conceptual issues arising in the …

Quantum field theory on curved spacetimes: Axiomatic framework and examples

K Fredenhagen, K Rejzner - Journal of Mathematical Physics, 2016 - pubs.aip.org
Quantum field theory on curved spacetimes: Axiomatic framework and examples Page 1
JOURNAL OF MATHEMATICAL PHYSICS 57, 031101 (2016) Quantum field theory on curved …

Perturbative algebraic quantum field theory

K Rejzner - Math. Phys. Stud., Springer, 2016 - Springer
Perturbative algebraic quantum field theory Mathematical Physics Studies Kasia Rejzner
Perturbative Algebraic Quantum Field Theory An Introduction for Mathematicians Page 2 …

[图书][B] From classical field theory to perturbative quantum field theory

M Dütsch - 2019 - Springer
On the one hand, perturbative quantum field theory (pQFT) is very successful: The results
obtained by computing the lowest orders of the perturbation series are in good agreement …

Asymptotic safety in Lorentzian quantum gravity

E D'Angelo - Physical Review D, 2024 - APS
A recently introduced functional renormalization group (RG) provides a new tool to explore
nonperturbative and covariant RG flows in Lorentzian spacetimes. We apply it for the first …

Algebraic quantum field theory in curved spacetimes

CJ Fewster, R Verch - Advances in algebraic quantum field theory, 2015 - Springer
This chapter sets out the framework of algebraic quantum field theory in curved spacetimes,
based on the idea of local covariance. In this framework, a quantum field theory is modelled …

An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds

E D'Angelo, N Drago, N Pinamonti, K Rejzner - Annales Henri Poincaré, 2024 - Springer
We discuss the scaling of the effective action for the interacting scalar quantum field theory
on generic spacetimes with Lorentzian signature and in a generic state (including vacuum …

AC*-algebraic approach to interacting quantum field theories

D Buchholz, K Fredenhagen - Communications in Mathematical Physics, 2020 - Springer
A novel C*-algebraic framework is presented for relativistic quantum field theories, fixed by a
Lagrangean. It combines the postulates of local quantum physics, encoded in the Haag …

Quantum gravity from the point of view of locally covariant quantum field theory

R Brunetti, K Fredenhagen, K Rejzner - Communications in Mathematical …, 2016 - Springer
We construct perturbative quantum gravity in a generally covariant way. In particular our
construction is background independent. It is based on the locally covariant approach to …

Homotopy theory of algebraic quantum field theories

M Benini, A Schenkel, L Woike - Letters in Mathematical Physics, 2019 - Springer
Motivated by gauge theory, we develop a general framework for chain complex-valued
algebraic quantum field theories. Building upon our recent operadic approach to this …