On the Structure of Trans-Series in Quantum Field Theory

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• Hauptverfasser: Mariño, Marcos, Miravitllas, Ramon, Reis, Tomás
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/214099
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...