skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription

Abstract

The renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription for the gluon propagator are addressed. An expression for the transverse component of the gauge field at light-cone infinity, which plays a crucial role in the description of the final-/initial-state interactions in the light-cone axial gauge, is obtained. The leading-order anomalous dimension is calculated in this gauge and the relation to the results obtained in other gauges is worked out. It is shown that, using the Mandelstam-Leibbrandt prescription, the ensuing anomalous dimension does not receive contributions from extra rapidity divergences related to a cusped junction point of the Wilson lines.

Authors:
;  [1]
  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, RU-141980 Dubna (Russian Federation)
Publication Date:
OSTI Identifier:
21322584
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.80.054008; (c) 2009 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; DISTRIBUTION FUNCTIONS; GAUGE INVARIANCE; GLUONS; INTERACTIONS; LIGHT CONE; PARTICLE RAPIDITY; PROPAGATOR; RENORMALIZATION; TRANSVERSE MOMENTUM; WILSON LOOP

Citation Formats

Cherednikov, I O, Stefanis, N G, INFN Gruppo collegato di Cosenza, Dipartimento di Fisica, Universita della Calabria, I-87036 Arcavacata di Rende, Institute for Theoretical Problems of Microphysics, Moscow State University, RU-119899, Moscow, Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum, and Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, RU-141980 Dubna. Renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.054008.
Cherednikov, I O, Stefanis, N G, INFN Gruppo collegato di Cosenza, Dipartimento di Fisica, Universita della Calabria, I-87036 Arcavacata di Rende, Institute for Theoretical Problems of Microphysics, Moscow State University, RU-119899, Moscow, Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum, & Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, RU-141980 Dubna. Renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription. United States. https://doi.org/10.1103/PHYSREVD.80.054008
Cherednikov, I O, Stefanis, N G, INFN Gruppo collegato di Cosenza, Dipartimento di Fisica, Universita della Calabria, I-87036 Arcavacata di Rende, Institute for Theoretical Problems of Microphysics, Moscow State University, RU-119899, Moscow, Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum, and Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, RU-141980 Dubna. Tue . "Renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription". United States. https://doi.org/10.1103/PHYSREVD.80.054008.
@article{osti_21322584,
title = {Renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription},
author = {Cherednikov, I O and Stefanis, N G and INFN Gruppo collegato di Cosenza, Dipartimento di Fisica, Universita della Calabria, I-87036 Arcavacata di Rende and Institute for Theoretical Problems of Microphysics, Moscow State University, RU-119899, Moscow and Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum and Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, RU-141980 Dubna},
abstractNote = {The renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription for the gluon propagator are addressed. An expression for the transverse component of the gauge field at light-cone infinity, which plays a crucial role in the description of the final-/initial-state interactions in the light-cone axial gauge, is obtained. The leading-order anomalous dimension is calculated in this gauge and the relation to the results obtained in other gauges is worked out. It is shown that, using the Mandelstam-Leibbrandt prescription, the ensuing anomalous dimension does not receive contributions from extra rapidity divergences related to a cusped junction point of the Wilson lines.},
doi = {10.1103/PHYSREVD.80.054008},
url = {https://www.osti.gov/biblio/21322584}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 5,
volume = 80,
place = {United States},
year = {2009},
month = {9}
}