Obstructions to the existence of Møller maps

Marco Benini, Alastair Grant-Stuart, Giorgio Musante, Alexander Schenkel
October 31, 2023
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.

perturbative field theory, Møller maps, Batalin-Vilkovisky formalism, L∞-algebras