Dynamical C*-algebras and Kinetic Perturbations
2020-12-23 | journal article. A publication with affiliation to the University of Göttingen.
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- Authors
- Buchholz, Detlev; Fredenhagen, Klaus
- Abstract
- Abstract The framework of dynamical C*-algebras for scalar fields in Minkowski space, based on local scattering operators, is extended to theories with locally perturbed kinetic terms. These terms encode information about the underlying spacetime metric, so the causality relations between the scattering operators have to be adjusted accordingly. It is shown that the extended algebra describes scalar quantum fields, propagating in locally deformed Minkowski spaces. Concrete representations of the abstract scattering operators, inducing this motion, are known to exist on Fock space. The proof that these representers also satisfy the generalized causality relations requires, however, novel arguments of a cohomological nature. They imply that Fock space representations of the extended dynamical C*-algebra exist, involving linear as well as kinetic and pointlike quadratic perturbations of the field.
- Issue Date
- 23-December-2020
- Journal
- Annales Henri Poincaré: A Journal of Theoretical and Mathematical Physics
- Organization
- Mathematisches Institut
- ISSN
- 1424-0637
- eISSN
- 1424-0661
- Language
- English
- Sponsor
- Georg-August-Universität Göttingen (1018)
- Notes
- This publication is with permission of the rights owner freely accessible due to an consortial licence with the publisher via the green way respectively.