Algebraic models for the hierarchy structure of evolution equations at small x

P. Rembiesa; A. M. Staśto

doi:10.1016/j.nuclphysb.2005.07.030

Algebraic models for the hierarchy structure of evolution equations at small x

P. Rembiesa
, A. M. Staśto

Physics

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

We explore several models of QCD evolution equations simplified by considering only the rapidity dependence of dipole scattering amplitudes, while provisionally neglecting their dependence on transverse coordinates. Our main focus is on the equations that include the processes of pomeron splittings. We examine the algebraic structures of the governing equation hierarchies, as well as the asymptotic behavior of their solutions in the large-rapidity limit.

Original language	English (US)
Pages (from-to)	251-264
Number of pages	14
Journal	Nuclear Physics B
Volume	725
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2005.07.030
State	Published - Oct 3 2005

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2005.07.030

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title = "Algebraic models for the hierarchy structure of evolution equations at small x",

abstract = "We explore several models of QCD evolution equations simplified by considering only the rapidity dependence of dipole scattering amplitudes, while provisionally neglecting their dependence on transverse coordinates. Our main focus is on the equations that include the processes of pomeron splittings. We examine the algebraic structures of the governing equation hierarchies, as well as the asymptotic behavior of their solutions in the large-rapidity limit.",

author = "P. Rembiesa and Sta{\'s}to, \{A. M.\}",

note = "Funding Information: We thank Jochen Bartels, Krzysztof Golec-Biernat, Misha Lublinsky, Larry McLerran and Al Mueller for discussions. This research was supported by The Citadel Foundation, the US Department of Energy, Contract No. DE-AC02-98-CH10886 and by the Polish Committee for Scientific Research, KBN Grant No. 1 P03B 028 28.",

year = "2005",

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doi = "10.1016/j.nuclphysb.2005.07.030",

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T1 - Algebraic models for the hierarchy structure of evolution equations at small x

AU - Rembiesa, P.

AU - Staśto, A. M.

N1 - Funding Information: We thank Jochen Bartels, Krzysztof Golec-Biernat, Misha Lublinsky, Larry McLerran and Al Mueller for discussions. This research was supported by The Citadel Foundation, the US Department of Energy, Contract No. DE-AC02-98-CH10886 and by the Polish Committee for Scientific Research, KBN Grant No. 1 P03B 028 28.

PY - 2005/10/3

Y1 - 2005/10/3

N2 - We explore several models of QCD evolution equations simplified by considering only the rapidity dependence of dipole scattering amplitudes, while provisionally neglecting their dependence on transverse coordinates. Our main focus is on the equations that include the processes of pomeron splittings. We examine the algebraic structures of the governing equation hierarchies, as well as the asymptotic behavior of their solutions in the large-rapidity limit.

AB - We explore several models of QCD evolution equations simplified by considering only the rapidity dependence of dipole scattering amplitudes, while provisionally neglecting their dependence on transverse coordinates. Our main focus is on the equations that include the processes of pomeron splittings. We examine the algebraic structures of the governing equation hierarchies, as well as the asymptotic behavior of their solutions in the large-rapidity limit.

UR - https://www.scopus.com/pages/publications/24344469180

UR - https://www.scopus.com/pages/publications/24344469180#tab=citedBy

U2 - 10.1016/j.nuclphysb.2005.07.030

DO - 10.1016/j.nuclphysb.2005.07.030

M3 - Article

AN - SCOPUS:24344469180

SN - 0550-3213

VL - 725

SP - 251

EP - 264

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

Algebraic models for the hierarchy structure of evolution equations at small x

Abstract

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