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arXiv · 2311.00070

Obstructions to the existence of M{\o}ller maps

Marco Benini·Alastair Grant-Stuart·Giorgio Musante·Alexander Schenkel
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Abstract

M{\o}ller maps are identifications between the observables of a perturbatively interacting physical system and the observables of its underlying free (i.e. non-interacting) system. This work studies and characterizes obstructions to the existence of such identifications. The main results are existence and importantly also non-existence theorems, which in particular imply that M{\o}ller maps do not exist for non-Abelian Chern-Simons and Yang-Mills theories on globally hyperbolic Lorentzian manifolds. These results are obtained through homological algebra techniques which are of independent interest in the analysis of classical field theories.

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Marco Benini, Alastair Grant-Stuart, Giorgio Musante, Alexander Schenkel. 2023-10-31. Obstructions to the existence of M{\o}ller maps. https://doi.org/10.4310/atmp.251120041927

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