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A new Wilson line-based classical action for gluodynamics

Hiren Kakkad, Piotr Kotko, Anna Stasto

SciPost Phys. Proc. 7, 011 (2022) · published 20 June 2022

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We develop a new classical action that in addition to $\mathrm{MHV}$ vertices contains also $\mathrm{N^kMHV}$ vertices, where $1\leq k \leq n-4$ with $n$ the number of external legs. The lowest order vertex is the four-point MHV vertex -- there is no three point vertex and thus the amplitude calculation involves fewer vertices than in the CSW method. The action is obtained by a canonical transformation of the Yang-Mills action in the light-cone gauge, where the field transformations are based on Wilson line functionals.

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