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

Laenen, E., Stavenga, G. and White, C.D. (2009) Path integral approach to eikonal and next-to-eikonal exponentiation. Journal of High Energy Physics, 2009(3), pp. 1-43. (doi: 10.1088/1126-6708/2009/03/054)

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Publisher's URL: http://dx.doi.org/10.1088/1126-6708/2009/03/054

Abstract

We 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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:White, Dr Christopher
Authors: Laenen, E., Stavenga, G., and White, C.D.
Subjects:Q Science > QC Physics
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Journal of High Energy Physics
Journal Abbr.:J. High Energy Phys.
ISSN:1029-8479
ISSN (Online):1029-8479
Published Online:09 March 2009

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