Document Type

Article

Publication Date

2007

DOI

10.1103/PhysRevD.75.014001

Publication Title

Physical Review D

Volume

75

Issue

1

Pages

014001 (1-21)

Abstract

The small-๐” deep inelastic scattering in the saturation region is governed by the nonlinear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the Balitsky-Kovchegov (BK) equation for the evolution of color dipoles. In the next-to-leading order (NLO) the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quark-loop contribution to small-๐” evolution of Wilson lines in the NLO. It turns out that there are no new operators at the one-loop levelโ€”just as at the tree level, the high-energy scattering can be described in terms of Wilson lines. In addition, from the analysis of quark loops I find that the argument of coupling constant in the BK equation is determined by the size of the parent dipole rather than by the size of produced dipoles. These results are to be supported by future calculation of gluon loops.

Comments

ยฉ 2007 American Physical Society

Yes, the author or the author's employer may use all or part of the APS published article, including the APS-prepared version (e.g., the PDF from the online journal) without revision or modification, on the author's or employer's website as long as a fee is not charged. If a fee is charged, then APS permission must be sought. In all cases, the appropriate bibliographic citation and notice of the APS copyright must be included.

Original Publication Citation

Balitsky, I. (2007) Quark contribution to the small-๐” evolution of color dipole. Physical Review D., 75(1),1-21, Article 014001. https://doi.org/10.1103/PhysRevD.75.014001

Download

Share

COinS