How small is the phase space in quantum field theory ?
Infrared representations of free Bose fields
Invariant states on Borchers' tensor algebra
Maximal violation of Bell's inequalities for algebras of observables in tangent spacetime regions
Modular theory and Eyvind Wichmann's contributions to modern particle physics theory.
Modular theory, non-commutative geometry and quantum gravity.
Multi-time sprays and -traceless maps on .
New generalized functions. Multiplication of distributions. Physical applications. Contribution of J. Sebastião e Silva
New results on de Sitter quantum field theory
On charged fields with group symmetry and degeneracies of Verlinde's matrix S*
On the problem of defining a specific theory within the frame of local quantum physics
On the structure of relative identification operators for quantum fields and their connection with the Haag-Ruelle scattering theory
On the use of modular groups in quantum field theory
Optimal Holomorphic Hypercontractivity for CAR Algebras
We present a new proof of Janson’s strong hypercontractivity inequality for the Ornstein-Uhlenbeck semigroup in holomorphic algebras associated with CAR (canonical anticommutation relations) algebras. In the one generator case we calculate optimal bounds for t such that is a contraction as a map for arbitrary p ≥ 2. We also prove a logarithmic Sobolev inequality.
Orthogonal Forms and Probability in von Neumann Algebras.
Phase space properties of local observables and structure of scaling limits
Positive energy quantization of linear dynamics
The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into three stages: the description of a classical system, the algebraic quantization and the Hilbert space quantization. Four kinds of systems are distinguished: neutral bosonic, neutral bosonic, charged bosonic and charged fermionic. The formalism that is described follows closely the usual constructions employed in quantum physics to introduce noninteracting quantum...
Problèmes mathématiques de la théorie quantique des champs
Properties of non-hermitian quantum field theories
In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under , but not symmetric under and separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are and theories. These theories all have unexpected and remarkable properties. I discuss...
Quantification d'une variété symplectique