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 …

Conservation of the stress tensor in perturbative interacting quantum field theory in curved spacetimes

S Hollands, RM Wald - Reviews in Mathematical Physics, 2005 - World Scientific
We propose additional conditions (beyond those considered in our previous papers) that
should be imposed on Wick products and time-ordered products of a free quantum scalar …

Microlocal Analysis and¶ Interacting Quantum Field Theories:¶ Renormalization on Physical Backgrounds

R Brunetti, K Fredenhagen - Communications in Mathematical Physics, 2000 - Springer
We present a perturbative construction of interacting quantum field theories on smooth
globally hyperbolic (curved) space-times. We develop a purely local version of the …

Existence of local covariant time ordered products of quantum fields in curved spacetime

S Hollands, RM Wald - Communications in mathematical physics, 2002 - Springer
We establish the existence of local, covariant time ordered products of local Wick
polynomials for a free scalar field in curved spacetime. Our time ordered products satisfy all …

Renormalized quantum Yang–Mills fields in curved spacetime

S Hollands - Reviews in Mathematical Physics, 2008 - World Scientific
We present a proof that the quantum Yang–Mills theory can be consistently defined as a
renormalized, perturbative quantum field theory on an arbitrary globally hyperbolic curved …

[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 …

Algebraic quantum field theory, perturbation theory, and the loop expansion

M Dütsch, K Fredenhagen - Communications in Mathematical Physics, 2001 - Springer
The perturbative treatment of quantum field theory is formulated within the framework of
algebraic quantum field theory. We show that the algebra of interacting fields is additive, ie …

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 …

Covariant canonical formulations of classical field theories

F Gieres - SciPost Physics Lecture Notes, 2023 - scipost.org
We review in simple terms the covariant approaches to the canonical formulation of classical
relativistic field theories (in particular gauge field theories and general relativity) and we …

On the renormalization group in curved spacetime

S Hollands, RM Wald - Communications in mathematical physics, 2003 - Springer
We define the renormalization group flow for a renormalizable interacting quantum field in
curved spacetime via its behavior under scaling of the spacetime metric, g→ λ 2 g. We …