SMuK 2021 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 18: Constructive Tools for Quantum Field Theory

MP 18.3: Talk

Friday, September 3, 2021, 11:50–12:15, H6

Renormalization in string-localized quantum field theory — •Christian Gass — Universität Göttingen, Germany

String-localized quantum field theory (SL QFT) provides an alternative to the usual gauge theoretic approaches. In the last one-and-a-half decades, many conceptual benefits of SL QFT have been discovered. However, a renormalization recipe for loop graphs with internal SL fields was not at hand until now.

In this talk, we present a proof that the problem of renormalization is not worse in SL QFT than in usual point-localized theories. This happens in spite of the analytic complexity of SL propagators and provided that one takes care in how to set up perturbation theory in SL QFT. Consequently, renormalization stays a pure short-distance problem and the improved short-distance behavior of SL fields remains a meaningful notion, which indicates that there can exist renormalizable models in SL QFT whose point-localized counterparts are non-renormalizable.