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High Energy Physics - Phenomenology

arXiv:1503.02066 (hep-ph)
[Submitted on 6 Mar 2015]

Title:Recursion relations for multi-gluon off-shell amplitudes on the light-front and Wilson lines

Authors:C. Cruz-Santiago, P. Kotko, A. Stasto
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Abstract:We analyze the off-shell scattering amplitudes in the framework of the light-front perturbation theory. It is shown that the previously derived recursion relation between tree level off-shell amplitudes in this formalism actually resums whole classes of graphs into a Wilson line. More precisely, we establish a correspondence between the light-front methods for the computation of the off-shell amplitudes and the approach which makes use of the matrix elements of straight infinite Wilson lines, which are manifestly gauge invariant objects. Furthermore, since it is needed to explicitly verify the gauge invariance of light-front amplitudes, it is demonstrated that the Ward identities in this framework need additional instantaneous terms in the light-front graphs.
Comments: 26 pages, a few figures
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1503.02066 [hep-ph]
  (or arXiv:1503.02066v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1503.02066
Related DOI: https://doi.org/10.1016/j.nuclphysb.2015.03.029

Submission history

From: Piotr Kotko [view email]
[v1] Fri, 6 Mar 2015 20:55:32 UTC (138 KB)
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