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

doi:https://doi.org/10.1103/PHYSREVD.80.054008

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

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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:

Cherednikov, I O; Stefanis, N G ^[1]

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, RU-141980 Dubna (Russian Federation)

Publication Date:: 2009-09-01

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.

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                    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

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                    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.

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@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}

}

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