Title
Generalized loop space and TMDs Generalized loop space and TMDs
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
conferenceObject
Publication
Cedex a :E d p sciences ,
Subject
Physics
Source (journal)
STRUCTURE OF THE NUCLEON
EPJ Web of Conferences
Source (book)
13th International Conference Meson-Nucleon Physics and the Structure of, the Nucleon (MENU), SEP 30-OCT 04, 2013, Rome, ITALY
Volume/pages
73(2014) , 4 p.
ISSN
2100-014X
2100-014X
Article Reference
02011
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The Standard Model describes the three (of four) basic interactions known in Nature in terms of the quantum fields which are constituted by representations of special unitary gauge groups of symmetry. However, the physical observables do not always coincide with the fundamental degrees of freedom of the Standard Model. Therefore it can be useful to switch to the loop space representation of the gauge theory, where the variables are inherently gauge invariant but the degrees of freedom are absorbed in the path/loop dependence. Over-completeness of this space requires the introduction of an equivalence relation which is provided by Wilson loop functionals operating on piecewise regular paths. It is well known that certain Wilson loops show the same singularity structure as some Transverse Momentum Dependent PDFs (TMDs), which are not renormalizable by the common methods due to exactly this singularity structure. By introducing geometrical operators, like the area-derivative, we were able to derive an evolution equation for these Wilson loops and we hope to apply this method in the future to find some renormalization schemes for TMDs.
E-info
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Full text (open access)
https://repository.uantwerpen.be/docman/irua/17c3ef/130340.pdf
Handle