This review summarizes the current status of the energy conditions in general relativity and
quantum field theory. We provide a historical review and a summary of technical results and …

We review the theory of quantum fields propagating in an arbitrary, classical, globally
hyperbolic spacetime. Our review emphasizes the conceptual issues arising in the …

A bstract We propose an algebra of operators along an observer's worldline as a
background-independent algebra in quantum gravity. In that context, it is natural to think of …

In classical general relativity, the values of fields on spacetime are uniquely determined by
their values at an initial time within the domain of dependence of this initial data surface …

This article aims to explain some of the basic facts about the questions raised in the title,
without the technical details that are available in the literature. We provide a gentle …

Perturbative algebraic quantum field theory Mathematical Physics Studies Kasia Rejzner
Perturbative Algebraic Quantum Field Theory An Introduction for Mathematicians Page 2 …

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 …

Unifying topics that are scattered throughout the literature, this book offers a definitive review
of mathematical aspects of quantization and quantum field theory. It presents both basic and …

We develop an operational framework, combining relativistic quantum measurement theory
with quantum reference frames (QRFs), in which local measurements of a quantum field on …

The process of quantum measurement is considered in the algebraic framework of quantum
field theory on curved spacetimes. Measurements are carried out on one quantum field …