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Settimana 19/09/2022 - 23/09/2022
Seminari
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
Operator Algebra Seminar
Date: Wednesday 21 September 2022
Schedule:
- LV formalism in perturbative AQFT. h. 15:00 First Seminar
- On the differentiation of integrals in measure spaces along filters h. 16:00 Second Seminar
Where: Conference Room "Roberta Dal Passo"
Speaker:
Karl-Henning Rehren (University of Göttingen) h.15:00
Fausto Di Biase (UniversitĂ "G. D'Annunzio" di Chieti-Pescara) h. 16:15
Abstract and title:
- First Seminar: "LV formalism in perturbative AQFT" h. 15:00
pAQFT defines nets of local algebras by a limiting construction with relative S-matrices. The latter can be constructed perturbatively from an interaction Lagrangian. In many instances, the construction can be improved by adding a total derivative to the interaction Lagrangian (which would have no effect in classical field theory). The LV formalism controls whether and how this modification affects the (relative) S-matrices and provides a tool to identify the local observables of the model.
- Second Seminar:"On the differentiation of integrals in measure spaces along filters" h. 16:00
In 1936, R. de Possel observed that, in the general setting of a measure space with no metric structure, certain phenomena, relative to the differentiation of integrals, which are familiar in the Euclidean setting precisely because of the presence of a metric, are devoid of actual meaning. In this work, in collaboration with Steven G. Krantz, we show that, in order to clarify these difficulties, it is useful to adopt the language of filters, which has been introduced by H. Cartan just a year after De Possel's contribution.
Organizing Committee:
Roberto Longo (University of Rome Tor Vergata and Director of C.M.T.P.)
Vincenzo Morinelli (University of Rome Tor Vergata)
Giuseppe Ruzzi (University of Rome Tor Vergata)
Further Information: Click here for website
NOTE: For more information contact: Vincenzo Morinelli
Streaming Link (MS Teams): In Presence
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