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

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 …

The years elapsed since the First Edition was issued have witnessed an impressive
evolution of some of the applications here considered, maybe not so of the mathematical …

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 …

A new approach to the model-independent description of quantum field theories will be
introduced in the present work. The main feature of this new approach is to incorporate in a …

In order to have well defined rules for the perturbative calculation of quantities of interest in
an interacting quantum field theory in curved spacetime, it is necessary to construct Wick …

This book tells mathematicians about an amazing subject invented by physicists and it tells
physicists how a master mathematician must proceed in order to understand it. Physicists …

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 …

This is an introduction to the by now fifteen years old research field of canonical quantum
general relativity, sometimes called" loop quantum gravity". The term" modern" in the title …