Quantum field theory on curved backgrounds—a primer

M Benini, C Dappiaggi, TP Hack - International Journal of Modern …, 2013 - World Scientific
Goal of this paper is to introduce the algebraic approach to quantum field theory on curved
backgrounds. Based on a set of axioms, first written down by Haag and Kastler, this method …

Homotopy colimits and global observables in Abelian gauge theory

M Benini, A Schenkel, RJ Szabo - Letters in Mathematical Physics, 2015 - Springer
We study chain complexes of field configurations and observables for Abelian gauge theory
on contractible manifolds, and show that they can be extended to non-contractible manifolds …

The universal C*-algebra of the electromagnetic field

D Buchholz, F Ciolli, G Ruzzi, E Vasselli - Letters in Mathematical Physics, 2016 - Springer
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 of …

On the Thermodynamics of the q-Particles

F Ciolli, F Fidaleo - Entropy, 2022 - mdpi.com
Since the grand partition function Z q for the so-called q-particles (ie, quons), q∈(− 1, 1),
cannot be computed by using the standard 2nd quantisation technique involving the full …

Where charged sectors are localizable: a viewpoint from covariant cohomology

F Ciolli, G Ruzzi, E Vasselli - Communications in Mathematical Physics, 2024 - Springer
Abstract 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 …

[HTML][HTML] Background potentials and superselection sectors

E Vasselli - Journal of Geometry and Physics, 2019 - Elsevier
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 …

Locality in Abelian gauge theories over globally hyperbolic spacetimes

M Benini - arxiv preprint arxiv:1503.00131, 2015 - arxiv.org
The thesis investigates the locality axiom of general local covariance for Abelian gauge
theories. Two models, Maxwell $ k $-forms (higher analogues of the electromagnetic vector …

Gerbes over posets and twisted C*-dynamical systems

E Vasselli - Journal of Noncommutative Geometry, 2019 - ems.press
A base generating the topology of a space M becomes a partially ordered set (poset), when
ordered under inclusion of open subsets. Given a precosheaf over of fixed-point spaces …