In the book of Haag [Local Quantum Physics (Springer Verlag, Berlin, 1992)] about local
quantum field theory the main results are obtained by the older methods of C*-and W …

We propose a framework for the free field construction of algebras of local observables
which uses as an input the Bisognano–Wichmann relations and a representation of the …

In the setting of vector-valued quantum fields obeying a linear wave-equation in a globally
hyperbolic, stationary spacetime, it is shown that the two-point functions of passive quantum …

We consider spherically symmetric spacetimes with an outer trap** horizon. Such
spacetimes are generalizations of spherically symmetric black hole spacetimes where the …

This chapter sets out the framework of algebraic quantum field theory in curved spacetimes,
based on the idea of local covariance. In this framework, a quantum field theory is modelled …

This paper provides a review of the literature on rigorous definitions and constructions in
quantum field theory (QFT), spanning the period of seven decades. Compared with the …

We propose a rigorous derivation of the Bekenstein upper limit for the entropy/information
that can be contained by a physical system in a given finite region of space with given finite …

A model-independent, locally generally covariant formulation of quantum field theory over
four-dimensional, globally hyperbolic spacetimes will be given which generalizes similar …

We consider the algebras generated by observables in quantum field theory localized in
regions in the null plane. For a scalar free field theory, we show that the one-particle …

We show that as soon as a linear quantum field on a stationary spacetime satisfies a certain
type of hyperbolic equation, the (quasifree) ground-and KMS-states with respect to the …