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SUMMARY:Resurgence in Integrable Field Theories
DTSTART;VALUE=DATE-TIME:20230412T120000Z
DTEND;VALUE=DATE-TIME:20230412T140000Z
DTSTAMP;VALUE=DATE-TIME:20230604T214500Z
UID:indico-event-9441@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Marco Serone (SISSA\, Trieste & IHES)\n\nWe review r
ecent progress in understanding the resurgent properties of integrable fie
ld theories in two dimensions. After a brief recap on elementary notions a
bout Borel resummations\, we start with a quick historical detour on the s
tudy of the large order behaviour of perturbation theory in quantum field
theory (QFT) before the advent of resurgence. We then introduce basic noti
ons of resurgence and apply it on three well-known integrable field theori
es which are UV-free\, develop a mass gap in the IR\, admit a 1/N expansio
n\, and present the so called renormalon singularities. The interplay betw
een resurgent properties and the 1/N expansion is discussed. The observabl
e of interest is the free energy in the presence of a chemical potential c
oupled to a conserved charge\, which can be computed exactly with thermody
namic Bethe ansatz techniques and/or large N QFT methods. Results at fini
te N will also be reviewed.\n\nhttps://indico.math.cnrs.fr/event/9441/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/9441/
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