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Title: Renormalization, Wilson lines, and transverse-momentum-dependent parton-distribution functions

Abstract

We perform an analysis of transverse-momentum dependent parton-distribution functions, making use of their renormalization properties in terms of their leading-order anomalous dimensions. We show that the appropriate Wilson line in the light cone gauge, associated with such quantities, is a cusped one at light cone infinity. To cancel the ensuing cusp anomalous dimension, we include in the definition of the transverse-momentum dependent parton-distribution functions an additional soft counter term (gauge link) along that cusped transverse contour. We demonstrate that this is tantamount to an 'intrinsic (Coulomb) phase', which accumulates the full gauge history of the color-charged particle.

Authors:
 [1];  [1]
  1. Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
Publication Date:
OSTI Identifier:
21250107
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.77.094001; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANOMALOUS DIMENSION; CHARGED PARTICLES; COLOR MODEL; CUSPED GEOMETRIES; DISTRIBUTION FUNCTIONS; LIGHT CONE; RENORMALIZATION; TRANSVERSE MOMENTUM; WILSON LOOP

Citation Formats

Cherednikov, I O, Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, and Stefanis, N G. Renormalization, Wilson lines, and transverse-momentum-dependent parton-distribution functions. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.094001.
Cherednikov, I O, Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, & Stefanis, N G. Renormalization, Wilson lines, and transverse-momentum-dependent parton-distribution functions. United States. https://doi.org/10.1103/PHYSREVD.77.094001
Cherednikov, I O, Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, and Stefanis, N G. Thu . "Renormalization, Wilson lines, and transverse-momentum-dependent parton-distribution functions". United States. https://doi.org/10.1103/PHYSREVD.77.094001.
@article{osti_21250107,
title = {Renormalization, Wilson lines, and transverse-momentum-dependent parton-distribution functions},
author = {Cherednikov, I O and Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna and Stefanis, N G},
abstractNote = {We perform an analysis of transverse-momentum dependent parton-distribution functions, making use of their renormalization properties in terms of their leading-order anomalous dimensions. We show that the appropriate Wilson line in the light cone gauge, associated with such quantities, is a cusped one at light cone infinity. To cancel the ensuing cusp anomalous dimension, we include in the definition of the transverse-momentum dependent parton-distribution functions an additional soft counter term (gauge link) along that cusped transverse contour. We demonstrate that this is tantamount to an 'intrinsic (Coulomb) phase', which accumulates the full gauge history of the color-charged particle.},
doi = {10.1103/PHYSREVD.77.094001},
url = {https://www.osti.gov/biblio/21250107}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 9,
volume = 77,
place = {United States},
year = {2008},
month = {5}
}