Doctoral thesis
Open access

On the resurgence of renormalons in integrable theories

Number of pages282
Imprimatur date2022-09-14
Defense date2022-09-05

We explore the physics of renormalons in integrable models under the framework of resurgence. In the first part, we review some background on resurgence, integrability and renormalons, including a discussion of large N renormalons and ring diagrams. In the second part, we start from the Bethe ansatz integral equations and obtain exact trans-series for the free energy in several models. These trans-series include non-perturbative effects which correspond to renormalons at unexpected positions in the Borel plane. We test the trans-series numerically and at large N. We also study what happens to these trans-series under a topological angle. In the third part, we apply the techniques of resurgence in non-relativistic theories. We find a relation between the energy gap of the system and the positions of singularities in the Borel plane. By studying the asymptotic behaviour of ring diagrams, we identify this relation with renormalons.

Citation (ISO format)
MARTINS DE OLIVEIRA, Tomas. On the resurgence of renormalons in integrable theories. 2022. doi: 10.13097/archive-ouverte/unige:163690
Main files (1)
Secondary files (1)

Technical informations

Creation09/27/2022 8:40:00 AM
First validation09/27/2022 8:40:00 AM
Update time03/16/2023 7:40:55 AM
Status update03/16/2023 7:40:53 AM
Last indexation02/01/2024 8:51:15 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack