30 citations · 93 across the 7 of their papers we have counts for
8 papers
A geometric perspective on Algebraic Quantum Field Theory
Vincenzo Morinelli
In this paper we give a streamlined overview of some of the recent constructions provided with K.-H. Neeb, G. Ólafsson and collaborators for a new geometric approach to Algebraic Q…
Modular operator for null plane algebras in free fields
Vincenzo Morinelli, Yoh Tanimoto, Benedikt Wegener
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 stru…
Scaling limits of lattice quantum fields by wavelets
Vincenzo Morinelli, Gerardo Morsella, Alexander Stottmeister +1
We present a rigorous renormalization group scheme for lattice quantum field theories in terms of operator algebras. The renormalization group is considered as an inductive system…
The Bisognano-Wichmann property for asymptotically complete massless QFT
Wojciech Dybalski, Vincenzo Morinelli
We prove the Bisognano-Wichmann property for asymptotically complete Haag-Kastler theories of massless particles. These particles should either be scalar or appear as a direct sum…
Scale and Möbius covariance in two-dimensional Haag-Kastler net
Vincenzo Morinelli, Yoh Tanimoto
Given a two-dimensional Haag-Kastler net which is Poincaré-dilation covariant with additional properties, we prove that it can be extended to a Möbius covariant net. Additional pro…
The Bisognano-Wichmann property on nets of standard subspaces, some sufficient conditions
Vincenzo Morinelli
We discuss the Bisognano-Wichmann property for local Poincaré covariant nets of standard subspaces. We give a sufficient algebraic condition on the covariant representation ensurin…
Conformal covariance and the split property
Vincenzo Morinelli, Yoh Tanimoto, Mihály Weiner
We show that for a conformal local net of observables on the circle, the split property is automatic. Both full conformal covariance (i.e. diffeomorphism covariance) and the circle…
An algebraic condition for the Bisognano-Wichmann Property
Vincenzo Morinelli
The Bisognano-Wichmann property for local, Poincaré covariant nets of standard subspaces is discussed. We present a sufficient algebraic condition on the covariant representation e…