Quantum field theory on curved spacetimes: Axiomatic framework and examples

K Fredenhagen, K Rejzner - Journal of Mathematical Physics, 2016 - pubs.aip.org
Quantum field theory on curved spacetimes: Axiomatic framework and examples Page 1
JOURNAL OF MATHEMATICAL PHYSICS 57, 031101 (2016) Quantum field theory on curved …

The locally covariant Dirac field

K Sanders - Reviews in Mathematical Physics, 2010 - World Scientific
We describe the free Dirac field in a four-dimensional spacetime as a locally covariant
quantum field theory in the sense of Brunetti, Fredenhagen and Verch, using a …

Quantum charges and spacetime topology: The emergence of new superselection sectors

R Brunetti, G Ruzzi - Communications in mathematical physics, 2009 - Springer
A new form of superselection sectors of topological origin is developed. By that it is meant a
new investigation that includes several extensions of the traditional framework of Doplicher …

A new light on nets of C*-algebras and their representations

G Ruzzi, E Vasselli - Communications in Mathematical Physics, 2012 - Springer
The present paper deals with the question of representability of nets of C*-algebras whose
underlying poset, indexing the net, is not upward directed. A particular class of nets, called …

Superselection sectors and general covariance. I

R Brunetti, G Ruzzi - Communications in mathematical physics, 2007 - Springer
This paper is devoted to the analysis of charged superselection sectors in the framework of
the locally covariant quantum field theories. We shall analyze sharply localizable charges …

Presheaves of symmetric tensor categories and nets of -algebras

E Vasselli - Journal of Noncommutative Geometry, 2015 - ems.press
Motivated by algebraic quantum field theory, we study presheaves of symmetric tensor
categories defined over the base of a space, intended as a spacetime. Any section of a …

The Berry Phase and Topological Sectors

AS Sitdikov, NV Nikolaeva - Bulletin of the Russian Academy of Sciences …, 2021 - Springer
The Berry Phase and Topological Sectors | Bulletin of the Russian Academy of Sciences:
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On Strict Higher C*-categories

P Bertozzini, R Conti, W Lewkeeratiyutkul… - arxiv preprint arxiv …, 2017 - arxiv.org
We provide definitions for strict involutive higher categories (a vertical categorification of
dagger categories), strict higher C*-categories and higher Fell bundles (over arbitrary …

A theory of bundles over posets

JE Roberts, G Ruzzi, E Vasselli - Advances in Mathematics, 2009 - Elsevier
In algebraic quantum field theory the spacetime manifold is replaced by a suitable base for
its topology ordered under inclusion. We explain how certain topological invariants of the …

QED representation for the net of causal loops

F Ciolli, G Ruzzi, E Vasselli - Reviews in Mathematical Physics, 2015 - World Scientific
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 …