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CATEGORIES:Geometry and Mathematical Physics seminar
SUMMARY:Asymptotics and Resurgence in String and Gauge The
ories - InĂªs Aniceto\, University of Southampton
DTSTART:20191008T160000Z
DTEND:20191008T170000Z
UID:TALK3911AT
URL:/talk/index/3911
DESCRIPTION:The perturbative expansions of many physical quant
ities are divergent\, and defined only as asymptot
ic series. It is well known that this divergence r
eflects the existence of nonperturbative\, exponen
tially damped contributions\, such as instanton ef
fects\, which are not captured by a perturbative a
nalysis. This connection between perturbative and
non-perturbative contributions of a given physical
observable can be systematically studied using th
e theory of resurgence\, allowing us to construct
a full non-perturbative solution from perturbative
asymptotic data. In this talk I will start by rev
iewing the essential role of resurgence theory in
the description of the analytic solution behind an
asymptotic series\, and its relation to the so-ca
lled Stokes phenomena\, phase transitions and ambi
guity cancelations. I will then exemplify with som
e recent applications of resurgence in the context
of string and gauge theories.
LOCATION:Watson Building (Mathematics\, R15 on map) Lecture
Room A
CONTACT:Timothy Magee
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