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 …

Several related operator-algebraic constructions for quantum field theory models on
Minkowski spacetime are reviewed. The common theme of these constructions is that of a …

We give a complete proof of the twisted duality property M (q)′= Z̃ M (q⊥) Z̃* of the (self-
dual) CAR-Algebra in any Fock representation. The proof is based on the natural Halmos …

We consider a purely massive local relativistic quantum theory specified by a family of von
Neumann algebras indexed by the space-time regions. We assume that, affiliated with the …

We give a simple and direct construction of a massless quantum field with arbitrary discrete
helicity that satisfies Wightman axioms and the corresponding relativistic wave equation in …

In this paper an attempt is made to present very recent conceptual and computational
developments in quantum field theory (QFT) as a new manifestation of old well-established …

Quantum field theories on de Sitter spacetime with global U (1) gauge symmetry are
deformed using the joint action of the internal symmetry group and a one-parameter group of …

The construction and analysis of deformations of quantum field theories by warped
convolutions is extended to a class of globally hyperbolic spacetimes. First, we show that …

In the present paper we review in a fiber bundle context the covariant and massless
canonical representations of the Poincaré group as well as certain unitary representations of …

Abstract In Rep. Math. Phys. 35 (1995), 101, the authors describe a method for constructing
directly (ie without using explicitly any field operator nor any concrete representation of the …