Piecewise linear Wilson lines

Piecewise linear Wilson lines

Wilson lines, being comparators that render non-local operator products gauge invariant, are extensively used in QCD calculations, especially in small-x calculations, calculations concerning validation of factorisation schemes and in calculations for constructing or modelling parton density functio...

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Main Author: Van der Veken Frederik F.
Format: Article
Language:English
Published: EDP Sciences 2015-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20158502004
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spelling doaj-beba9ed595d3463ea326e02b09285c922021-08-02T16:12:40ZengEDP SciencesEPJ Web of Conferences2100-014X2015-01-01850200410.1051/epjconf/20158502004epjconf_tv2014_02004Piecewise linear Wilson linesVan der Veken Frederik F.0Department of Physics, University of Antwerp Wilson lines, being comparators that render non-local operator products gauge invariant, are extensively used in QCD calculations, especially in small-x calculations, calculations concerning validation of factorisation schemes and in calculations for constructing or modelling parton density functions. We develop an algorithm to express piecewise path ordered exponentials as path ordered integrals over the separate segments, and apply it on linear segments, reducing the number of diagrams needed to be calculated. We show how different linear path topologies can be related using their colour structure. This framework allows one to easily switch results between different Wilson line structures, which is especially useful when testing different structures against each other, e.g. when checking universality properties of non-perturbative objects. http://dx.doi.org/10.1051/epjconf/20158502004
collection DOAJ
language English
format Article
sources DOAJ
author Van der Veken Frederik F.
spellingShingle Van der Veken Frederik F.
Piecewise linear Wilson lines
EPJ Web of Conferences
author_facet Van der Veken Frederik F.
author_sort Van der Veken Frederik F.
title Piecewise linear Wilson lines
title_short Piecewise linear Wilson lines
title_full Piecewise linear Wilson lines
title_fullStr Piecewise linear Wilson lines
title_full_unstemmed Piecewise linear Wilson lines
title_sort piecewise linear wilson lines
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2015-01-01
description Wilson lines, being comparators that render non-local operator products gauge invariant, are extensively used in QCD calculations, especially in small-x calculations, calculations concerning validation of factorisation schemes and in calculations for constructing or modelling parton density functions. We develop an algorithm to express piecewise path ordered exponentials as path ordered integrals over the separate segments, and apply it on linear segments, reducing the number of diagrams needed to be calculated. We show how different linear path topologies can be related using their colour structure. This framework allows one to easily switch results between different Wilson line structures, which is especially useful when testing different structures against each other, e.g. when checking universality properties of non-perturbative objects.
url http://dx.doi.org/10.1051/epjconf/20158502004
work_keys_str_mv AT vandervekenfrederikf piecewiselinearwilsonlines
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