The Power of Perturbation Theory

Data inizio

25/09/2017 14:00

Data fine

25/09/2017 16:00

Luogo

Dipartimento di Fisica - Aula 501

Relatori

Marco Serone
SISSA Trieste

Seminario INFN di Gruppo IV

Perturbative series in quantum mechanics and quantum field theory are known to be only asymptotic and generically require the inclusion of extra contributions non-perturbative in the coupling, such as instantons, to reproduce exact results.
Using a geometrical approach based on the Picard-Lefschetz theory and Borel resummation methods, we show how exact results can be encoded in a modified perturbative series in a class of quantum mechanical systems. There is no need of transseries, i.e. non-perturbative effects, such as real (or complex) instantons.

Applications are presented and perspectives for quantum field theories are shortly discussed.

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