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CATEGORIES:Quantum Fields and Strings Seminars
SUMMARY:Resurgent Analysis in Quantum Theories: Perturbati
ve Theory and Beyond - Ines Aniceto (Lisbon\, IST
Maths)
DTSTART;TZID=Europe/London:20140501T130000
DTEND;TZID=Europe/London:20140501T140000
UID:TALK52133AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/52133
DESCRIPTION:In order to study the weakly coupled regime of som
e given quantum theory we often make use of pertur
bative expansions of the physical quantities of in
terest. But such expansions are often divergent\,
with zero radius of convergence\, and defined only
as asymptotic series. In fact\, this divergence i
s connected to the existence of nonperturbative co
ntributions\, i.e. instanton effects that cannot b
e simply captured by 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 cons
truct a full non-perturbative solution from pertur
bative data. In this talk\, I will review the esse
ntial role of resurgence theory in the description
of the analytic solution behind the asymptotic se
ries. I will then relate resurgence to the so-call
ed Stokes phenomena and phase transitions using a
simple example\, and will further discuss some maj
or applications of this construction.
LOCATION:Potter Room (first floor\, Pav. B)
CONTACT:Dr Dorigoni
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