On the Structure of Trans-Series in Quantum Field Theory

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Mariño, Marcos, Miravitllas, Ramon, Reis, Tomás
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214099
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Structure of Trans-Series in Quantum Field Theory. Marcos Mariño, Ramon Miravitllas and Tomás Reis. SIGMA 21 (2025), 065, 33 pages

Many observables in quantum field theory can be expressed as trans-series, in which one adds to the perturbative series a typically infinite sum of exponentially small corrections, due to instantons or renormalons. Even after Borel resummation of the series in the coupling constant, one has to sum t...