Title
Piecewise linear Wilson lines Piecewise linear Wilson lines
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
conferenceObject
Publication
Cedex a :E d p sciences ,
Subject
Physics
Source (journal)
PROCESSES (TRANSVERSITY 2014)
EPJ Web of Conferences
Source (book)
4th International Workshop on Transverse Polarisation Phenomena in Hard, Processes (TRANSVERSITY), JUN 09-13, 2014, Cagliari, ITALY
Volume/pages
85(2015) , 6 p.
ISSN
2100-014X
2100-014X
Article Reference
02004
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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.
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Full text (open access)
https://repository.uantwerpen.be/docman/irua/4d8aeb/125525.pdf
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