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arXiv · 2006.16188

Exploring straight infinite Wilson lines in the Self Dual and the MHV Lagrangians

Hiren Kakkad·Piotr Kotko·Anna Stasto
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Abstract

We investigate the appearance of straight infinite Wilson lines lying on the self-dual plane in the context of the Self Dual sector of the Yang Mills theory and in a connection to the Lagrangian implementing the MHV vertices (MHV Lagrangian) according to the Cachazo-Svrcek-Witten method. It was already recognized in the past by two of the authors, that such Wilson line functional provides the field transformation of positive helicity fields between the Yang-Mills theory on the light-cone and the MHV Lagrangian. Here we discuss in detail the connection to the Self Dual sector and we provide a new insight into the solution for the minus helicity field transformation, which can be expressed in terms of a functional derivative of the straight infinite Wilson line on the self-dual plane.

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Hiren Kakkad, Piotr Kotko, Anna Stasto. 2020-06-29. Exploring straight infinite Wilson lines in the Self Dual and the MHV Lagrangians. https://doi.org/10.1103/physrevd.102.094026

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