Unitarity at small Bjorken x

By H. Weigert. 2000

483 citations recorded by the source corpus.

Abstract This paper presents a solution to the nonlinear small- x “projectile side” evolution equations as derived by Balitskii in 1996. The solution is based on functional Fokker–Planck methods. The fixed point at small x is explicitly calculated and all correlation functions in this limit are determined. They show clear saturation and unitarization properties. Scaling laws that hold during the saturation phase and throughout the whole course of the evolution are established. The corresponding Langevin equations are given as a basis for numerical simulations opening the field for future studies of dynamical issues of the evolution not analytically accessible. The methods used may be extended to the “target side” equations of Jalilian-Marian, Kovner, Leonidov and Weigert.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/05964280fb602a23dd3efcf46b70bda34f96fb8b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

The Colour Glass Condensate : An Introduction (2001, background): “y ) −νa x ! Wτ ) , (4.7) A crucial property, with many consequences, is that the second term within the braces is actually zero. Indeed, the following relation holds between the coeﬃcients of the RGE [47, 37]: 1 2 Z d2y ⊥ δηab(x⊥,y⊥) δαb τ (y⊥) = νa(x⊥). (4.8) 52 It is easy to prove this relation by”
Solving The High Energy Evolution Equation Including Running Coupling Corrections (2007, background): “1 Introduction Recently our understanding of the linear Balitsky–Fadin–Kuraev–Lipatov (BFKL) [4, 5] and non-linear Jalilian-Marian–Iancu–McLerran–Weigert–Leonidov–Kovner (JIMWLK) [6–13] and Balitsky-Kovchegov (BK) [14–18] small-x evolution equations in the Color Glass Condensate [6–29] has been impr”
Geometric scaling above the saturation scale (2002, methodology): “log approximation scheme). For ﬁnite Nc, there is no simple closed non-linear equation, just an inﬁnite hierarchy of coupled equations [15], which is equivalent to a functional Fokker-Planck equation [17, 2]. This functional equation 21 can be studied via numerical techniques (in particular, on the ”
When does the gluon reggeize? (2013, methodology): “l O[U], the Balitsky-JIMWLK equation (2.6) can then be rewritten as an integro-dierential equation through the following substitutions (applied after normal-ordering all T L;R’s to the right of U’s) [57,58]: X i 7! Z d2z i; T a i;L7! TaU(z i) U(z i) ; Ta i;R7! U(z i)Ta U(z i) : (2.11) These are su”
Triumvirate of running couplings in small-x evolution (2006, methodology): “We propose using a particular scheme which gives us R as an explicit function of r1 and r2.”