JIMWLK evolution of the odderon
Lappi, T., Ramnath, A., Rummukainen, K., & Weigert, H. (2016). JIMWLK evolution of the odderon. Physical Review D, 94(5), Article 054014. https://doi.org/10.1103/PhysRevD.94.054014
Julkaistu sarjassa
Physical Review DPäivämäärä
2016Tekijänoikeudet
© 2016 American Physical Society. Published in this repository with the kind permission of the publisher.
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 Nc, approaching infinity in the infinite Nc 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 Nc. In the large-Nc 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 threepoint
truncation at finite Nc, the presence of an odderon component introduces azimuthal angular
correlations ∼ cosðnφÞ at all n in the target color field. These correlations could potentially have an effect
on future studies of multiparticle angular correlations.
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Julkaisija
American Physical SocietyISSN Hae Julkaisufoorumista
1550-7998Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/26258707
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We are grateful to H. Mäntysaari for help with BK numerics. T. L. is supported by the Academy of Finland, Projects No. 267321 and No. 273464. A. R. has been supported by a scholarship from the Center for International Mobility, Finland. K. R. is supported by the Academy of Finland Project No. 267286. H. W. is supported by the National Research Foundation of South Africa (NRF) under CPRR Grant No. 90509.![showless](/themes/JYX2//images/showless.png)
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