Obstructions to the existence of Møller maps
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866912728228036608 |
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| author | Benini, Marco Grant-Stuart, Alastair Musante, Giorgio Schenkel, Alexander |
| author_facet | Benini, Marco Grant-Stuart, Alastair Musante, Giorgio Schenkel, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00070 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Obstructions to the existence of Møller maps Benini, Marco Grant-Stuart, Alastair Musante, Giorgio Schenkel, Alexander Mathematical Physics High Energy Physics - Theory 70Sxx, 81Txx, 55Uxx 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. |
| title | Obstructions to the existence of Møller maps |
| topic | Mathematical Physics High Energy Physics - Theory 70Sxx, 81Txx, 55Uxx |
| url | https://arxiv.org/abs/2311.00070 |