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

C. Cruz-Santiago, P. Kotko, A. M. Staśto

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)132-160
Number of pages29
JournalNuclear Physics B
Volume895
DOIs
StatePublished - Jun 1 2015

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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