A new Wilson line-based action for gluodynamics

Hiren Kakkad, Piotr Kotko, Anna Stasto

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 MHV¯ vertices, that reduce to the corresponding amplitudes in the on-shell limit. In general, any n-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.

Original languageEnglish (US)
Article number187
JournalJournal of High Energy Physics
Issue number7
StatePublished - Jul 2021

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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