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SUMMARY:Petr Kravchuk - CFTs and Wightman axioms in higher dimensions
DTSTART;VALUE=DATE-TIME:20210225T140000Z
DTEND;VALUE=DATE-TIME:20210225T160000Z
DTSTAMP;VALUE=DATE-TIME:20210227T230142Z
UID:indico-event-1004193@indico.cern.ch
DESCRIPTION:Zoom virtual seminar: Click here to enter room\n\nAbstract:
In the modern axiomatic approach to CFT one usually assumes convergence
and associativity of OPE\, and then tries to derive new results from these
assumptions. In particular\, it is often said that all correlation functi
ons are determined by the OPE coefficients and scaling dimensions. However
\, one might wonder whether the quantum field theory resulting from these
correlation functions satisfies usual QFT axioms\, such as Wightman axioms
in Minkowski space\, or Osterwalder-Schrader (OS) axioms in Euclidean spa
ce. In this talk I will give a partial answer to this question by showing
that these axioms are obeyed at least up to 4-point functions. I will expl
ain that while OS axioms follow relatively easily\, extra work is required
to establish Wightman axioms because the classic results connecting the t
wo rely on additional assumptions.\n\nhttps://indico.cern.ch/event/1004193
/
LOCATION:CERN Zoom Only
URL:https://indico.cern.ch/event/1004193/
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