25 citations · 38 across the 9 of their papers we have counts for
10 papers
Orthogonal pairs of Euler elements II: Geometric Bisognano--Wichmann and Spin--Statistics Theorems
Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson
Models in Algebraic Quantum Field Theory (AQFT) may be generalized including Lie groups of symmetries whose Lie algebras admit an Euler element , characterized by the property t…
Orthogonal pairs of Euler elements I. Classification, fundamental groups and twisted duality
Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson
The current article continues our project on representation theory, Euler elements, causal homogeneous spaces and Algebraic Quantum Field Theory (AQFT). We call a pair (h,k) of Eul…
The modular Hamiltonian in asymptotically flat spacetime conformal to Minkowski
Claudio Dappiaggi, Vincenzo Morinelli, Gerardo Morsella +1
We consider a four-dimensional globally hyperbolic spacetime conformal to Minkowski spacetime, together with a massless, conformally coupled scalar field. Using a bulk-to-b…
From local nets to Euler elements
Vincenzo Morinelli, Karl-Hermann Neeb
Various aspects of the geometric setting of Algebraic Quantum Field Theory (AQFT) models related to representations of the Poincaré group can be studied for general Lie groups, who…
Modular geodesics and wedge domains in non-compactly causal symmetric spaces
Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson
We continue our investigation of the interplay between causal structures on symmetric spaces and geometric aspects of Algebraic Quantum Field Theory. We adopt the perspective that…
From Euler elements and 3-gradings to non-compactly causal symmetric spaces
Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson
In this article we discuss the interplay between causal structures of symmetric spaces and geometric aspects of Algebraic Quantum Field Theory (AQFT). The central focus is the set…
A family of non-modular covariant AQFTs
Vincenzo Morinelli, Karl-Hermann Neeb
Based on the construction provided in our paper "Covariant homogeneous nets of standard subspaces", Comm. Math. Phys. 386 (2021), 305-358, we construct non-modular covariant one-pa…
Covariant homogeneous nets of standard subspaces
Vincenzo Morinelli, Karl-Hermann Neeb
Rindler wedges are fundamental localization regions in AQFT. They are determined by the one-parameter group of boost symmetries fixing the wedge. The algebraic canonical constructi…
Operator-algebraic renormalization and wavelets
Alexander Stottmeister, Vincenzo Morinelli, Gerardo Morsella +1
We report on a rigorous operator-algebraic renormalization group scheme and construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet the…
Spacelike deformations: Higher-helicity fields from scalar fields
Vincenzo Morinelli, Karl-Henning Rehren
In contrast to Hamiltonian perturbation theory which changes the time evolution, "spacelike deformations" proceed by changing the translations (momentum operators). The free Maxwel…