PoS - Proceedings of Science
Volume 449 - The European Physical Society Conference on High Energy Physics (EPS-HEP2023) - T11 Quantum Field and String Theory
Quantum correction to a new Wilson-line based action for Gluodynamics
H. Kakkad, P. Kotko* and A. Stasto
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Pre-published on: February 20, 2024
Published on: March 21, 2024
We discuss a new classical action that enables efficient computation of the gluonic tree amplitudes but does not contain any triple point vertices. This new formulation is obtained via a canonical transformation of the light-cone Yang-Mills action, with the field transformations based on Wilson line functionals. In addition to MHV vertices, the action contains also N$^k$MHV vertices, where $1\leq k \leq n−4$, and $n$ is the number of external legs. We computed tree-level amplitudes up to 8 gluons and found agreement with standard results. The classical action is however not sufficient to obtain rational parts of amplitudes, in particular the finite amplitudes with all same helicity gluons. In order to systematically develop quantum corrections to this new action, we derive the one-loop effective action, in such a way there are no quantum contributions missing at one loop.
DOI: https://doi.org/10.22323/1.449.0505
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