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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Resonant resurgent asymptotics from quantum field
theory - Michael Borinsky (ETH Zürich)
DTSTART;TZID=Europe/London:20220913T143000
DTEND;TZID=Europe/London:20220913T153000
UID:TALK178112AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/178112
DESCRIPTION:The factorial divergence of perturbative expansion
s is believed to be governed by two seemingly unre
lated phenomena: Instantons that arise due to nont
rivial solutions of the classical field equations
and renormalons that appear due to a factorially g
rowing contribution from the renormalization subtr
action terms of a family of Feynman diagrams.
\; I will report on joint work with David Broadhur
st\, Gerald Dunne and Max Meynig in which a partic
ularly interesting renormalon in phi^3 theory was
analyzed using tools from Ecalle's resurgence fram
ework. A recent work with David Broadhurst reveale
d the intricate role of 'resonant' logarithmic ter
ms for this renormalon and allowed an all-trans-se
ries-order resurgence analysis. The overall shape
of our all-order trans-series solution and our (we
ll-tested) conjectured formulas for the asymptotic
behaviour of the trans-series coefficients hint a
t the existence of a reality cancellation mechanis
m as it is observed in quantum mechanical instanto
n computations. (Based on https://arxiv.org/abs/22
02.01513 )
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