2023/10/31 by Marco Benini, Alastair Grant-Stuart, Benini, Marco +5 · 1 citation
Mathematics · Physics and Astronomy · #55Uxx #70Sxx #81Txx #Black Holes and Theoretical Physics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2311.00070
openalex publication_date 2023/10/31 · openalex created_date 2023/11/03 · openalex updated_date 2026/07/28
Møller 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 Møller 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.