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| Claudio Dappiaggi - On the role of asymptotic structures in the construction of quantum states for free field theories on curved backgrounds (en Anglais) | |||
Droits : CC BY-NC-ND 4.0 Auteur(s) : Dappiaggi Claudio, Bastien Fanny 03-07-2014 Description : In the algebraic approach to quantum field theory on curved backgrounds, there exists a special class of quantum states for free fields, called of Hadamard form. These are of particular relevance since they yield finite quantum fluctuations of all observables and they can be used to implement interactions at a perturbative level. Although their existence is guaranteed on all globally hyperbolic spacetimes, for long time only few explicit examples were known. A way to bypass this problem exists on those manifolds which possess a null conformal boundary, such as all asymptotically flat spacetimes. In this talk we shall discuss this construction in particular for massless, conformally coupled scalar fields and for linearised gravity. Mots-clés libres : mathématiques,Grenoble,école d'été,General Relativity,institut fourier,summer school,asymptotic analysis | TECHNIQUE Type : image en mouvement Format : video/x-flv Source(s) : rtmpt://fms2.cerimes.fr:80/vod/institut_fourier/claudio.dappiaggi.on.the.role.of.asymptotic.structures.in.the.construction.of.quantum.states.for.free.field.theories.on.curved.backgrounds_22577/dappiaggi_ecoleete_03072014_sd.mp4 | ||
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| Claudio Dappiaggi - On the role of asymptotic structures in the construction of quantum states for free field theories on curved backgrounds (en Anglais) | |||||||||
Identifiant de la fiche : 22577 Schéma de la métadonnée : LOMv1.0, LOMFRv1.0 Droits : libre de droits, gratuit Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0 Auteur(s) : DAPPIAGGI CLAUDIO Éditeur(s) : Fanny Bastien 03-07-2014 Description : In the algebraic approach to quantum field theory on curved backgrounds, there exists a special class of quantum states for free fields, called of Hadamard form. These are of particular relevance since they yield finite quantum fluctuations of all observables and they can be used to implement interactions at a perturbative level. Although their existence is guaranteed on all globally hyperbolic spacetimes, for long time only few explicit examples were known. A way to bypass this problem exists on those manifolds which possess a null conformal boundary, such as all asymptotically flat spacetimes. In this talk we shall discuss this construction in particular for massless, conformally coupled scalar fields and for linearised gravity. Mots-clés libres : mathématiques, Grenoble, école d'été, General Relativity, institut fourier, summer school, asymptotic analysis
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