Anomaly and double copy in quantum self-dual Yang-Mills and gravity
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911752011120640 |
|---|---|
| author | Monteiro, Ricardo Stark-Muchão, Ricardo Wikeley, Sam |
| author_facet | Monteiro, Ricardo Stark-Muchão, Ricardo Wikeley, Sam |
| contents | Recent works have explored how scattering amplitudes in quantum self-dual Yang-Mills theory and self-dual gravity can be interpreted as resulting from an anomaly, as first proposed by W. Bardeen. We study this problem in the light-cone-gauge formulation of the theories. Firstly, we describe how the infinite tower of symmetries associated to classical integrability can be quantum corrected, exhibiting the one-loop anomaly. Secondly, we present quantum-corrected light-cone Lagrangians worthy of the simplicity of the amplitudes, building on recent works describing the anomaly in twistor space. Finally, we discover an unexpected BCJ-like double copy for the (loop-integrated) amplitudes, distinct from the well-known BCJ double copy for the loop integrands. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_12407 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Anomaly and double copy in quantum self-dual Yang-Mills and gravity Monteiro, Ricardo Stark-Muchão, Ricardo Wikeley, Sam High Energy Physics - Theory Recent works have explored how scattering amplitudes in quantum self-dual Yang-Mills theory and self-dual gravity can be interpreted as resulting from an anomaly, as first proposed by W. Bardeen. We study this problem in the light-cone-gauge formulation of the theories. Firstly, we describe how the infinite tower of symmetries associated to classical integrability can be quantum corrected, exhibiting the one-loop anomaly. Secondly, we present quantum-corrected light-cone Lagrangians worthy of the simplicity of the amplitudes, building on recent works describing the anomaly in twistor space. Finally, we discover an unexpected BCJ-like double copy for the (loop-integrated) amplitudes, distinct from the well-known BCJ double copy for the loop integrands. |
| title | Anomaly and double copy in quantum self-dual Yang-Mills and gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2211.12407 |