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$QM^3$ Quantum Matter meets Maths   RSS

Tomás Reis 18/10/2019, 11:30 — 12:30 — Room P3.10, Mathematics Building
Tomás Reis, University of Geneva

Resurgence, Superconductors and Renormalons

In this talk I will cover the recent work of M. Mariño and I (https://arxiv.org/abs/1905.09569, https://arxiv.org/abs/1905.09575) about an application of resurgence to superconductive quantum many-body systems. I will start by introducing the core idea of resurgence. Then, I will overview how to use the TBA to find the perturbative series of the ground-state of the Gaudin-Yang model (and other integrable models) to all orders. Finally, I will show how a resurgence analysis of such series connects to superconductivity and renormalon effects, leading to a concrete conjecture linking the Borel-summability of the perturbative series to the superconductor energy gap.

See also

Reis Resurgence superconduntors and renormalons seminar_october18.pdf
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The goal of $QM^3$ is to discuss recent topics in quantum matter from a mathematical perspective. Build bridges between the physics and mathematics communities.


Organizers: Bruno Mera, João Pimentel Nunes, José Mourão, Pedro Ribeiro, Roger Picken, Vitor Rocha Vieira

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