Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-07-03
Phys.Rev. D66 (2002) 074005
Physics
High Energy Physics
High Energy Physics - Phenomenology
One reference and two short comments added. To appear in Physical Revies D
Scientific paper
10.1103/PhysRevD.66.074005
We introduce a Wilson line distribution function bar{W}_tau(v) to study gluon saturation at small Feynman x_F, or large tau=ln(1/x_F). This new distribution can be obtained from the distribution W_tau(alpha) of the Color Glass Condensate model and the JIMWLK renormalization group equation. bar{W}_tau(v) is physically more relevant, and mathematically simpler to deal with because of unitarity of the Wilson line v. A JIMWLK equation is derived for bar{W}_tau(v); its properties are studied. These properties are used to complete Mueller's derivation of the JIMWLK equation, though for bar{W}_tau(v) and not W_tau(alpha). They are used to derive a generalized Balitsky-Kovchegov equation for higher multipole amplitudes. They are also used to compute the unintegrated gluon distribution at x_F=0, yielding a completely flat spectrum in transverse momentum squared k^2, with a known height. This is similar but not identical to the mean field result at small k^2.
Lam Chi-Sing
Mahlon Gregory
Zhu Wei
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