Quantum field theory on curved backgrounds—a primer
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 …
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
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 …
on contractible manifolds, and show that they can be extended to non-contractible manifolds …
The universal C*-algebra of the electromagnetic field
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 …
quantum field theory which incorporates electromagnetism and expresses basic features of …
On the Thermodynamics of the q-Particles
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 …
cannot be computed by using the standard 2nd quantisation technique involving the full …
Where charged sectors are localizable: a viewpoint from covariant cohomology
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 …
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 …
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 …
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 …
ordered under inclusion of open subsets. Given a precosheaf over of fixed-point spaces …