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SUMMARY:T. Grimm (Utrecht U.)
DTSTART:20230222T150000Z
DTEND:20230222T160000Z
DTSTAMP:20260423T021001Z
UID:AnLy/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AnLy/21/">Th
 e Tameness of Quantum Field Theory</a>\nby T. Grimm (Utrecht U.) as part o
 f AnLy Strings and Fields online seminars\n\n\nAbstract\nIn this talk I wi
 ll introduce a generalized notion of finiteness and argue that it appears 
 in quantum field theories and in all well-understood string theory effecti
 ve theories. The underlying mathematical foundation is described by the ta
 me geometry that is built from o-minimal structures introduced in mathemat
 ical logic. For renormalizable quantum field theories\, I will give a gene
 ral proof that amplitudes at each order in the loop expansion are tame fun
 ctions. I will discuss several exact non-perturbative results and show tha
 t they are tame but only given constraints on the UV definition of the the
 ory. I will present new evidence that tameness is linked to a consistent c
 oupling to quantum gravity. Motivated by these insights\, I will suggest t
 hat sets of consistent physical theories and their observables can be used
  to define tame structures. I will make concrete conjectures how this is i
 mplemented for conformal field theories and comment on some of the implica
 tions.\n
LOCATION:https://researchseminars.org/talk/AnLy/21/
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