In the framework of perturbative algebraic quantum field theory a local construction of
interacting fields in terms of retarded products is performed, based on earlier work of …

On the one hand, perturbative quantum field theory (pQFT) is very successful: The results
obtained by computing the lowest orders of the perturbation series are in good agreement …

In suitable states, the modular group of local algebras associated with unions of disjoint
intervals in chiral conformal quantum field theory acts geometrically. We translate this result …

A new formalism for the perturbative construction of algebraic quantum field theory is
developed. The formalism allows the treatment of low-dimensional theories and of non …

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 …

Quantum field theory is an extremely successful piece of theoretical physics. Based on few
general principles, it describes with an incredibly good precision large parts of particle …

A unified scheme for treating generalized superselection sectors is proposed on the basis of
the notion of selection criteria to characterize states of relevance to each specific domain in …

First, the present work is concerned with generalising constructions and results in quantum
field theory on curved spacetimes from the well-known case of the Klein-Gordon field to …

The linear scalar quantum field, propagating in a globally hyperbolic space–time, is a
relatively simple physical model that allows us to study many aspects in explicit detail. In this …

On the basis of the mathematical notion of “micro-macro duality” for understanding mutual
relations between microsopic quantum systems (micro) and their macroscopic …