This paper is concerned with the study of quasifree states of a linear, scalar quantum field in
globally hyperbolic spacetimes possessing a one-parameter group of isometries with a …

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 gravity poses the problem of merging quantum mechanics and general relativity,
the two great conceptual revolutions in the physics of the twentieth century. The loop and …

The aim of this paper is to provide a general introduction to the problem of time in quantum
gravity. This problem originates in the fundamental conflict between the way the concept …

The problem of reconciling general relativity and quantum theory has fascinated and
bedeviled physicists for more than 70 years. Despite recent progress in string theory and …

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 …

arxiv:gr-qc/0006061v3 23 Jan 2001 Page 1 arxiv:gr-qc/0006061v3 23 Jan 2001 Notes for a
brief history of quantum gravity Presented at the 9th Marcel Grossmann Meeting in Roma, July …

This book concerns the foundations of Quantum Gravity, in particular from a conceptual point
of view. It provides a self-contained introduction to this topic, resting on particular features of …