# A new Wilson line-based classical action for gluodynamics

### Submission summary

 Authors (as Contributors): Piotr Kotko
Submission information
Date accepted: 2022-03-25
Date submitted: 2021-11-08 12:16
Submitted by: Kotko, Piotr
Submitted to: SciPost Physics Proceedings
Proceedings issue: RADCOR 2021 (15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology)
Ontological classification
Specialties:
• High-Energy Physics - Theory
Approach: Theoretical

### Abstract

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.

Published as SciPost Phys. Proc. 7, 011 (2022)

### Submission & Refereeing History

Submission scipost_202111_00013v1 on 8 November 2021

## Reports on this Submission

### Strengths

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings.

None.

### Report

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings and therefore we recommend its publication.

### Requested changes

None.

• validity: high
• significance: high
• originality: good
• clarity: high
• formatting: excellent
• grammar: good