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 …

This book develops quantum field theory in curved spacetime in a pedagogical style,
suitable for graduate students. The authors present detailed, physically motivated …

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 …

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 …

For the two-point distribution of a quasi-free Klein-Gordon neutral scalar quantum field on an
arbitrary four dimensional globally hyperbolic curved space-time we prove the equivalence …

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 …

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 …

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 …