On the projectile-target duality of the color glass condensate in the dipole picture

Marquet, Cyrille; Mueller, Dieter; Shoshi, Arif I.; Wong, S. M. H.

doi:10.1016/j.nuclphysa.2005.08.025

Cited by 27 publications

(32 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This amounts to a different reorganization of the perturbation theory in the weak-scattering regime, which however leads to the same high-energy behaviour, as previously argued in Refs. [52,53]. (The subsequent discussion is in fact adapted For more clarity, assume that the target starts at Y = 0 as a single particle located at x 0 .…”

Section: A On the Fluctuation Terms In The Pomeron Loop Equationsmentioning

confidence: 99%

One-dimensional model for QCD at high energy

et al. 2007

View full text Add to dashboard Cite

We propose a stochastic particle model in (1+1)-dimensions, with one dimension corresponding to rapidity and the other one to the transverse size of a dipole in QCD, which mimics high-energy evolution and scattering in QCD in the presence of both saturation and particle-number fluctuations, and hence of Pomeron loops. The model evolves via non-linear particle splitting, with a non-local splitting rate which is constrained by boost-invariance and multiple scattering. The splitting rate saturates at high density, so like the gluon emission rate in the JIMWLK evolution. In the mean field approximation obtained by ignoring fluctuations, the model exhibits the hallmarks of the BK equation, namely a BFKL-like evolution at low density, the formation of a traveling wave, and geometric scaling. In the full evolution including fluctuations, the geometric scaling is washed out at high energy and replaced by diffusive scaling. It is likely that the model belongs to the universality class of the reaction-diffusion process. The analysis of the model sheds new light on the Pomeron loops equations in QCD and their possible improvements.

show abstract

Section: A On the Fluctuation Terms In The Pomeron Loop Equationsmentioning

confidence: 99%

One-dimensional model for QCD at high energy

et al. 2007

View full text Add to dashboard Cite

show abstract

“…The latest developments in this dynamic field are related to what is sometimes called Pomeron loops, or Fluctuations or alternatively Saturation effects in the projectile wave function [13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35]. The corrections due to these effects clearly must be important for the preasymptotic regime, but should also affect the more exclusive observables at very high energy.…”

Section: Introductionmentioning

confidence: 99%

“…Much has been understood during the last year, but many questions remain open. In particular the structure of the "Hilbert space" on which the evolution kernel acts [24] as well as the precise physical meaning of the Dense-Dilute Duality (DDD) introduced in [26] are being actively debated [28,31,32,33,34]. This paper presents several remarks on these issues.…”

Section: Introductionmentioning

confidence: 99%

More remarks on high energy evolution

2006

View full text Add to dashboard Cite

We discuss several issues related to recent work on high energy evolution. In particular we show that the Hilbert space for action of the operator of the evolution can be conveniently defined by the space of weight functional introduced recently in [28]. These weight functionals automatically implement the correct properties of the charge density correlators, thus eliminating the need in explicit introduction of the Wess Zumino term. We also discuss various aspects of Dense Dilute Duality in the toy dipole model.

show abstract

“…The target distribution is then obtained by successively acting with the creation operators on the 'dipole vacuum', and can be represented as the following 'color glass weight function' : 18) where the functional distribution δ[ρ] represents the vacuum (no color charge, and hence no dipole ! ),…”

Section: A Dipolar Picture and Its Limitationsmentioning

confidence: 99%

On the probabilistic interpretation of the evolution equations with pomeron loops in QCD

2006

View full text Add to dashboard Cite

We study some structural aspects of the evolution equations with Pomeron loops recently derived in QCD at high energy and for a large number of colors, with the purpose of clarifying their probabilistic interpretation. We show that, in spite of their appealing dipolar structure and of the self-duality of the underlying Hamiltonian, these equations cannot be given a meaningful interpretation in terms of a system of dipoles which evolves through dissociation (one dipole splitting into two) and recombination (two dipoles merging into one). The problem comes from the saturation effects, which cannot be described as dipole recombination, not even effectively. We establish this by showing that a (probabilistically meaningful) dipolar evolution in either the target or the projectile wavefunction cannot reproduce the actual evolution equations in QCD.

show abstract

On the projectile-target duality of the color glass condensate in the dipole picture

Cited by 27 publications

References 36 publications

One-dimensional model for QCD at high energy

One-dimensional model for QCD at high energy

More remarks on high energy evolution

On the probabilistic interpretation of the evolution equations with pomeron loops in QCD

Contact Info

Product

Resources

About