JIMWLK evolution of the odderon

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http://hdl.handle.net/10138/183650

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Lappi , T , Ramnath , A , Rummukainen , K & Weigert , H 2016 , ' JIMWLK evolution of the odderon ' , Physical Review D , vol. 94 , no. 5 , 054014 . https://doi.org/10.1103/PhysRevD.94.054014

Title: JIMWLK evolution of the odderon
Author: Lappi, T.; Ramnath, A.; Rummukainen, K.; Weigert, H.
Contributor: University of Helsinki, Helsinki Institute of Physics
University of Helsinki, Department of Physics
Date: 2016-09-14
Language: eng
Number of pages: 17
Belongs to series: Physical Review D
ISSN: 2470-0010
URI: http://hdl.handle.net/10138/183650
Abstract: We study the effects of a parity-odd "odderon" correlation in Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner renormalization group evolution at high energy. Firstly we show that in the eikonal picture where the scattering is described by Wilson lines, one obtains a strict mathematical upper limit for the magnitude of the odderon amplitude compared to the parity-even Pomeron one. This limit increases with N-c, approaching infinity in the infinite N-c limit. We use a systematic extension of the Gaussian approximation including both two-and three-point correlations which enables us to close the system of equations even at finite N-c. In the large-N-c limit we recover an evolution equation derived earlier. By solving this equation numerically we confirm that the odderon amplitude decreases faster in the nonlinear case than in the linear Balitsky-Fadin-Kuraev-Lipatov limit. We also point out that, in the three-point truncation at finite N-c, the presence of an odderon component introduces azimuthal angular correlations similar to cos(n phi) at all n in the target color field. These correlations could potentially have an effect on future studies of multiparticle angular correlations.
Subject: COLOR GLASS CONDENSATE
GLUON DISTRIBUTION-FUNCTIONS
HIGH-ENERGY SCATTERING
SMALL-X EVOLUTION
RENORMALIZATION-GROUP
PA-COLLISIONS
BK EVOLUTION
LARGE NUCLEI
HERA-DATA
EQUATION
114 Physical sciences
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