String chopping and time-ordered products of linear string-localized quantum fields

 

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Autoři: Cardoso, Lucas T., Mund, Jens, Várilly Boyle, Joseph C.
Médium: artículo original
Datum vydání:2018
Popis:For a renormalizability proof of perturbative models in the Epstein-Glaser scheme with string-localized quantum fields, one needs to know what freedom one has in the definition of time-ordered products of the interaction Lagrangian. This paper provides a first step in that direction. The basic issue is the presence of an open set of n-tuples of strings which cannot be chronologically ordered. We resolve it by showing that almost all such string configurations can be dissected into finitely many pieces which can indeed be chronologically ordered. This fixes the time-ordered products of linear field factors outside a nullset of string configurations.
Země:Kérwá
Instituce:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/81785
On-line přístup:https://link.springer.com/article/10.1007%2Fs11040-017-9258-9
https://hdl.handle.net/10669/81785
Klíčové slovo:Relativistic quantum field theory
Locality
Epstein-Glaser perturbative construction
Time-ordered products