Path integral approach to eikonal and next-to-eikonal exponentiation

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dc.creatorLaenen, E.
dc.creatorStavenga, G.
dc.creatorWhite, C. D.
dc.date2008-11-13
dc.date.accessioned2026-07-07T12:56:47Z
dc.date.available2026-07-07T12:56:47Z
dc.descriptionWe approach the issue of exponentiation of soft gauge boson corrections to scattering amplitudes from a path integral point of view. We show that if one represents the amplitude as a first quantized path integral in a mixed coordinate-momentum space representation, a charged particle interacting with a soft gauge field is represented as a Wilson line for a semi-infinite line segment, together with calculable fluctuations. Combining such line segments, we show that exponentiation in an abelian field theory follows immediately from standard path-integral combinatorics. In the non-abelian case, we consider color singlet hard interactions with two outgoing external lines, and obtain a new viewpoint for exponentiation in terms of ``webs'', with a closed form solution for their corresponding color factors. We investigate and clarify the structure of next-to-eikonal corrections.
dc.description43 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/0811.2067
dc.identifierhttp://arxiv.org/abs/0811.2067
dc.identifierJHEP 0903:054,2009
dc.identifierdoi:10.1088/1126-6708/2009/03/054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224702
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titlePath integral approach to eikonal and next-to-eikonal exponentiation
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