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SUMMARY:Resurgent Analysis in Quantum Theories: Perturbative Theory and Be
 yond - Ines Aniceto (Lisbon\, IST Maths)
DTSTART:20140501T120000Z
DTEND:20140501T130000Z
UID:TALK52133@talks.cam.ac.uk
CONTACT:Dr Dorigoni
DESCRIPTION:In order to study the weakly coupled regime of some given quan
 tum theory we often make use of perturbative expansions of the physical qu
 antities of interest. But such expansions are often divergent\, with zero 
 radius of convergence\, and defined only as asymptotic series. In fact\, t
 his divergence is connected to the existence of nonperturbative contributi
 ons\, i.e. instanton effects that cannot be simply captured by a perturbat
 ive 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 from perturbati
 ve data. In this talk\, I will review the essential role of resurgence the
 ory in the description of the analytic solution behind the asymptotic seri
 es. I will then relate resurgence to the so-called Stokes phenomena and ph
 ase transitions using a simple example\, and will further discuss some maj
 or applications of this construction.
LOCATION:Potter Room (first floor\, Pav. B)
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