Traveling wave fronts and the transition to saturation

By S. Munier, R. Peschanski. 2003

171 citations recorded by the source corpus.

We propose a general method to study the solutions to nonlinear QCD evolution equations, based on a deep analogy with the physics of traveling waves. In particular, we show that the transition to the saturation regime of high energy QCD is identical to the formation of the front of a traveling wave. Within this physical picture, we provide the expressions for the saturation scale and the gluon density profile as a function of the total rapidity and the transverse momentum. The application to the Balitsky-Kovchegov equation for both fixed and running coupling constants confirms the effectiveness of this method.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e31716d22d5685593e9427f7f9ecbad27c02a2ef

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In Nuclear and High Energy Physics

1. M. Costa
2. J. Penedones
3. J. Albacete
4. L. Cornalba
5. Y. Kovchegov
6. E. Iancu
7. A. Mueller
8. Y. Hatta

Citations in the corpus

• Small-x physics beyond the Kovchegov equation☆ (2004, background): “(2.7) Inserting (2.2) and (2.3) in (2.7), also the integration over r1 can be easily done, ∫ d2r1 2πr21 ( x2 r21 )λ 2πα2r2< ( 1 + ln r> r ) = π 2 α2x′2 ( x2 x′2 )λ 1 λ2(1− λ)2 , (2.8) leading to T (x, x′, Y ) = πα2x′2 ∫ dλ 2πi 1 λ2(1− λ)2 exp [ 2αNc π χ(λ)Y − (1− λ) ln x 2 x′2 ]( x2 x′2 ) .”
• Deep inelastic scattering at strong coupling from gauge/string duality: the saturation line (2007, methodology): “for unitarization [20, 21, 22]. In what follows, we shall briefly review this calculation to ‘leading–logarithmic accuracy’ (LLA), i.e., at the level of the leading–order BFKL equation. (See also Ref. [31, 32] for more accurate analyses, including NLO effects.) To LLA, the cross–sections in QCD at hig”
• Solving The High Energy Evolution Equation Including Running Coupling Corrections (2007, methodology): “(10) This prescription is useful as a benchmark used to compare with previous numerical [3] and analytical works [34, 35, 43] where this ansatz was used.”
• Deep inelastic scattering in conformal QCD (2009, background): “This growth breaks unitarity and leads to gluon saturation in the target hadron structure functions [5–11], which for large Q still occurs for small coupling αs [12].”