Resonant resurgent asymptotics from quantum field theory

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• Michael Borinsky (ETH Zürich)
• Tuesday 13 September 2022, 14:30-15:30
• No Room Required.

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AR2W01 - Physical resurgence: On quantum, gauge, and stringy

The factorial divergence of perturbative expansions is believed to be governed by two seemingly unrelated phenomena: Instantons that arise due to nontrivial solutions of the classical field equations and renormalons that appear due to a factorially growing contribution from the renormalization subtraction terms of a family of Feynman diagrams.  I will report on joint work with David Broadhurst, Gerald Dunne and Max Meynig in which a particularly interesting renormalon in phi^3 theory was analyzed using tools from Ecalle’s resurgence framework. A recent work with David Broadhurst revealed the intricate role of ‘resonant’ logarithmic terms for this renormalon and allowed an all-trans-series-order resurgence analysis. The overall shape of our all-order trans-series solution and our (well-tested) conjectured formulas for the asymptotic behaviour of the trans-series coefficients hint at the existence of a reality cancellation mechanism as it is observed in quantum mechanical instanton computations. (Based on https://arxiv.org/abs/2202.01513 )

This talk is part of the Isaac Newton Institute Seminar Series series.

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