Published February 2013 | Version v1
Journal article Metadata-only

On the running coupling in the JIMWLK equation

Creators

  • 1. Helsinki Institute of Physics, P.O. Box 64, University of Helsinki (Finland)
  • 2. Department of Physics, P.O. Box 35, University of Jyvaeskylae (Finland)

Description

We propose a new method to implement the running coupling constant in the JIMWLK equation, imposing the scale dependence on the correlation function of the random noise in the Langevin formulation. We interpret this scale choice as the transverse momentum of the emitted gluon in one step of the evolution and show that it is related to the ''Balitsky'' prescription for the BK equation. This slows down the evolution speed of a practical solution of the JIMWLK equation, bringing it closer to the x-dependence inferred from fits to HERA data. We further study our proposal by a numerical comparison of the BK and JIMWLK equations. (orig.)

Availability note (English)

Available from: http://dx.doi.org/10.1140/epjc/s10052-013-2307-z

Additional details

Identifiers

DOI
10.1140/epjc/s10052-013-2307-z;

Publishing Information

Journal Title
European Physical Journal. C
Journal Volume
73
Journal Issue
2
Journal Page Range
p. 1-13
ISSN
1434-6044

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
44069410
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
CORRELATION FUNCTIONS; COUPLING CONSTANTS; ENERGY DEPENDENCE; FEYNMAN DIAGRAM; LANGEVIN EQUATION; NOISE; PARTIAL DIFFERENTIAL EQUATIONS; RENORMALIZATION; SCALING LAWS; SCATTERING AMPLITUDES; TRANSVERSE MOMENTUM
Descriptors DEC
AMPLITUDES; DIAGRAMS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; INFORMATION; LINEAR MOMENTUM