Inside looking out: Probing JIMWLK wave functions with BFKL calculations

Journal Article · Fri Oct 01 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.074016· OSTI ID:21421376

Altinoluk, Tolga; Kovner, Alex ^[1]; Levin, Eugene ^[2]

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1. Physics Department, University of Connecticut, 2152 Hillside Road, Storrs, Connecticut 06269 (United States)
2. Departamento de Fisica, Universidad Tecnica Federico Santa Maria, Avenida Espana 1680, Casilla 110-V, Valparaiso (Chile)

We investigate the relation between the eigenvalues and eigenfunctions of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) and Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK/KLWMIJ) Hamiltonians. We show that the eigenvalues of the BFKL Hamiltonians are also exact eigenvalues of the KLWMIJ (and JIMWLK) Hamiltonian, albeit corresponding to possibly non-normalizable eigenfunctions. The question whether a given eigenfunction of BFKL corresponds to a normalizable eigenfunction of KLWMIJ is rather complicated, except in some obvious cases, and requires independent investigation. As an example to illustrate this relation we concentrate on the color octet exchange in the framework of KLWMIJ Hamiltonian. We show that it corresponds to the reggeized gluon exchange of BFKL, and find first correction to the BFKL wave function, which has the meaning of the impact factor for shadowing correction to the Reggeized gluon. We also show that the bootstrap condition in the KLWMIJ framework is satisfied automatically and does not carry any additional information to that contained in the second quantized structure of the KLWMIJ Hamiltonian. This is an example of how the bootstrap condition inherent in the t-channel unitarity arises in the s-channel picture.

• OSTI ID: 21421376
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COLOR MODEL
COMPOSITE MODELS
CORRECTIONS
EIGENFUNCTIONS
EIGENVALUES
FUNCTIONS
GLUONS
HAMILTONIANS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
QUANTUM OPERATORS
QUARK MODEL
S CHANNEL
T CHANNEL
UNITARITY
WAVE FUNCTIONS