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20012025
most citedA new light on nets of C*-algebras and their representations

16 citations · 125 across the 34 of their papers we have counts for

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14 papers · 1 filter

math-ph2025

Charges in light cones and quenched infrared radiation

Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi +1

The creation of electrically charged states and the resulting electromagnetic fields are considered in space-time regions in which such experiments can actually be carried out, nam…

math-ph2024

Twisting factors and fixed-time models in quantum field theory

Ezio Vasselli

We construct a class of fixed-time models in which the commutations relations of a Dirac field with a bosonic field are non-trivial and depend on the choice of a given distribution…

math-ph2023

Where charged sectors are localizable: a viewpoint from covariant cohomology

Fabio Ciolli, Giuseppe Ruzzi, Ezio Vasselli

Given a Haag-Kastler net on a globally hyperbolic spacetime, one can consider a family of regions where quantum charges are supposed to be localized. Assuming that the net fulfils…

math-ph2022★ 1 cited

Gauss's law, the manifestations of gauge fields, and their impact on local observables

Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi +1

Within the framework of the universal algebra of the electromagnetic field, the impact of globally neutral configurations of external charges on the field is analyzed. External cha…

math-ph2021★ 6 cited

The universal algebra of the electromagnetic field III. Static charges and emergence of gauge fields

Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi +1

A universal C*-algebra of gauge invariant operators is presented, describing the electromagnetic field as well as operations creating pairs of static electric charges having opposi…

math-ph2019★ 2 cited

Aharonov-Bohm superselection sectors

Claudio Dappiaggi, Giuseppe Ruzzi, Ezio Vasselli

We show that the Aharonov-Bohm effect finds a natural description in the setting of QFT on curved spacetimes in terms of superselection sectors of local observables. The extension…

math-ph2018★ 3 cited

Background potentials and superselection sectors

Ezio Vasselli

The basic aspects of the Aharonov-Bohm effect can be summarized by the remark that wavefunctions become sections of a line bundle with a flat connection (that is, a "flat potential…

math-ph2018★ 2 cited

Linking numbers in local quantum field theory

Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi +1

Linking numbers appear in local quantum field theory in the presence of tensor fields, which are closed two-forms on Minkowski space. Given any pair of such fields, it is shown tha…

math-ph2016★ 8 cited

The universal C*-algebra of the electromagnetic field II. Topological charges and spacelike linear fields

Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi +1

Conditions for the appearance of topological charges are studied in the framework of the universal C*-algebra of the electromagnetic field, which is represented in any theory descr…

math-ph2015★ 11 cited

The universal C*-algebra of the electromagnetic field

Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi +1

A universal C*-algebra of the electromagnetic field is constructed. It is represented in any quantum field theory which incorporates electromagnetism and expresses basic features o…

math-ph2013★ 4 cited

QED Representation for the Net of Causal Loops

Fabio Ciolli, Giuseppe Ruzzi, Ezio Vasselli

The present work tackles the existence of local gauge symmetries in the setting of Algebraic Quantum Field Theory (AQFT). The net of causal loops, previously introduced by the auth…

math-ph2012★ 7 cited

Presheaves of superselection structures in curved spacetimes

Ezio Vasselli

We show that superselection structures on curved spacetimes, that are expected to describe quantum charges affected by the underlying geometry, are categories of sections of preshe…

math-ph2011★ 11 cited

Causal posets, loops and the construction of nets of local algebras for QFT

Fabio Ciolli, Giuseppe Ruzzi, Ezio Vasselli

We provide a model independent construction of a net of C*-algebras satisfying the Haag-Kastler axioms over any spacetime manifold. Such a net, called the net of causal loops, is c…

math-ph2011★ 4 cited

Representations of nets of C*-algebras over S^1

Giuseppe Ruzzi, Ezio Vasselli

In recent times a new kind of representations has been used to describe superselection sectors of the observable net over a curved spacetime, taking into account of the effects of…