A new Wilson line-based action for gluodynamics
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- AGH - Univ. of Science and Technology, Krakow (Poland). Faculty of Physics; Univ. of Pennsylvania, University Park, PA (United States)
- AGH - Univ. of Science and Technology, Krakow (Poland). Faculty of Physics
- Univ. of California, Davis, CA (United States). Center for Quantum Mathematics and Physics (QMAP)
We perform a canonical transformation of fields that brings the Yang-Mills action in the light-cone gauge to a new classical action, which does not involve any triple-gluon vertices. The lowest order vertex is the four-point MHV vertex. Higher point vertices include the MHV and $$\overline{\mathrm{MHV}}$$ vertices, that reduce to the corresponding amplitudes in the on-shell limit. In general, anyn-leg vertex has 2≤ m ≤ n -2 negative helicity legs. The canonical transformation of fields can be compactly expressed in terms of path-ordered exponentials of fields and their functional derivative. We apply the new action to compute several tree-level amplitudes, up to 8-point NNMHV amplitude, and find agreement with the standard methods. The absence of triple-gluon vertices results in fewer diagrams required to compute amplitudes, when compared to the CSW method and, obviously, considerably fewer than in the standard Yang-Mills action.
- Research Organization:
- Pennsylvania State University, University Park, PA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- SC0002145
- OSTI ID:
- 1850798
- Journal Information:
- Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2021; ISSN 1029-8479
- Publisher:
- Springer NatureCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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