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SUMMARY:Resurgent Analysis in Quantum Theories : Perturbative Theory and B
eyond
DTSTART;VALUE=DATE-TIME:20140527T120000Z
DTEND;VALUE=DATE-TIME:20140527T130000Z
DTSTAMP;VALUE=DATE-TIME:20180426T034849Z
UID:indico-event-321478@indico.cern.ch
DESCRIPTION:\n In order to study the weakly coupled regime of some give
n quantum theory we often make use of perturbative expansions of the physi
cal quantities of interest. But such expansions are often divergent\, with
zero radius of convergence\, and defined only as asymptotic series.\n\n
In fact\, this divergence is connected to the existence of nonperturbati
ve contributions\, i.e. instanton effects that cannot be simply captured b
y a perturbative analysis. The theory of resurgence is a mathematical tool
which allows us to effectively study this connection and its consequences
. Moreover\, it allows us to construct a full non-perturbative solution fr
om perturbative data. In this talk\, I will review the essential role of r
esurgence theory in the description of the analytic solution behind the as
ymptotic series. I will then re-\n\n late resurgence to the so-called S
tokes phenomena and phase transitions using a simple example\, and will fu
rther discuss some major applications of this construction.\n\nhttps://ind
ico.cern.ch/event/321478/
LOCATION:LAPTh\, Petit Amphitheatre
URL:https://indico.cern.ch/event/321478/
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