Title 



Generalized loop space and TMDs
 
Author 


  
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. Overcompleteness 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 areaderivative, 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.   
Language 



English
 
Source (journal) 



EPJ Web of Conferences  




STRUCTURE OF THE NUCLEON  
Source (book) 



13th International Conference MesonNucleon Physics and the Structure of, the Nucleon (MENU), SEP 30OCT 04, 2013, Rome, ITALY  
Publication 



Cedex a : E d p sciences, 2014
 
ISSN 



2100014X
 
Volume/pages 



73(2014), 4 p.
 
Article Reference 



02011
 
ISI 



000365134300029
 
Medium 



Eonly publicatie
 
Full text (Publisher's DOI) 


  
Full text (open access) 


  
