Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 332, Issue 1, Pages 477-504Publisher
SPRINGER
DOI: 10.1007/s00220-014-2100-3
Keywords
-
Categories
Funding
- University of Pavia
- Indam-GNFM project Influenza della materia quantistica sulle fluttuazioni gravitazionali
- DAAD
- Deutsche Forschungsgemeinschaft (DFG)
Ask authors/readers for more resources
The aim of this work is to complete our program on the quantization of connections on arbitrary principal U(1)-bundles over globally hyperbolic Lorentzian manifolds. In particular, we show that one can assign via a covariant functor to any such bundle an algebra of observables which separates gauge equivalence classes of connections. The C*-algebra we construct generalizes the usual CCR-algebras, since, contrary to the standard field-theoretic models, it is based on a presymplectic Abelian group instead of a symplectic vector space. We prove a no-go theorem according to which neither this functor, nor any of its quotients, satisfies the strict axioms of general local covariance. As a byproduct, we prove that a morphism violates the locality axiom if and only if a certain induced morphism of cohomology groups is non-injective. We show then that, fixing any principal U(1)-bundle, there exists a suitable category of subbundles for which a quotient of our functor yields a quantum field theory in the sense of Haag and Kastler. We shall provide a physical interpretation of this feature and we obtain some new insights concerning electric charges in locally covariant quantum field theory.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available