MG14 - Talk detail |
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Participant |
Rejzner, Katarzyna | |||||||
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University of York - Heslington - York - North Yorkshire - United Kingdom | |||||||
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Oral abstract |
Title |
Effective quantum gravity observables and locally covariant QFT | |||||
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Abstract |
Locally covariant QFT is a mathematically rigorous framework that allows to build models of quantum field theories on general globally hyperbolic spacetimes. Its conceptual basis relies on the algebraic approach to QFT, where a given model is specified by providing a net of algebras of local observables, associated to bounded regions of spacetimes. This point of view can be adopted also in perturbative QFT, with the use of Epstein-Glaser renormalization. These methods were recently applied in effective quantum gravity, but one has to modify the concept of observables, since they can no longer be local. In this talk I will present recent results on this subject. |
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Pdf file |
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Session |
PS |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Effective quantum gravity from the point of view of perturbative algebraic QFT | |||||
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Abstract |
Perturbative algebraic quantum field theory (pAQFT) is a mathematically rigorous framework that allows to construct models of quantum field theories on a general class of Lorentzian manifolds. Recently this idea has been applied also to perturbative quantum gravity, treated as an effective theory. The difficulty was to find the right notion of observables that would in an appropriate sense be diffeomorphism invariant. In this talk I will outline a general framework that allows to quantize theories with local symmetries (this includes infinitesimal diffeomorphism transformations) with the use of the BV (Batalin-Vilkovisky) formalism. This approach has been successfully applied to effective quantum gravity in a recent paper by Brunetti, Fredenhagen and myself. In the same paper we have also proven perturbative background independence of the quantized theory and proposed a suitable notion of diffeomorphism invariant observables. |
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Pdf file |
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