Renormalization in string-localized field theories: a microlocal analysis

DOI10.1007/S00023-022-01171-3arXiv2107.12834WikidataQ114232012 ScholiaQ114232012MaRDI QIDQ6373872

Publication date: 27 July 2021

Abstract: Using methods of microlocal analysis, we prove that the regularization of divergent amplitudes stays a pure ultraviolet problem in string-localized field theories, despite the weaker localization. Thus, power counting does not lose its significance as an indicator for renormalizability. It also follows that standard techniques can be used to regularize divergent amplitudes in string-localized field theories.

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Linear operators and ill-posed problems, regularization (47A52)

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