Gluon propagator in non-Abelian Weizsäcker-Williams fields

Ayala, Alejandro; Jalilian‐Marian, Jamal; McLerran, Larry; Venugopalan, Raju

doi:10.1103/physrevd.52.2935

Cited by 104 publications

(140 citation statements)

References 12 publications

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“…One possible cause for the failure of the McLerran-Venugopalan model is that it does not include the quantum evolution of the parton distributions. In fact, it was noticed early on that quantum corrections to the McLerranVenugopalan model are large [68,69]. The proper treatment of these corrections was performed by several authors -known collectively by their acronyms as JIMWLK [15][16][17][18][19][20][21][22][23][24][25][26][27], leading to the evolution equation for the weight functional…”

Section: Cronin Effect In Classical Gluon Productionmentioning

confidence: 99%

High energy pA collisions in the color glass condensate approach I: gluon production and the Cronin effect

Blaizot¹,

Gelis²,

2004

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We study gluon production in high energy proton-nucleus collisions in the semi-classical framework of the Color Glass Condensate. We develop a general formalism to compute gluon fields in covariant gauge to lowest order in the classical field of the proton and to all orders in the classical field of the nucleus. The use of the covariant gauge makes the diagrammatic interpretation of the solution more transparnt. k ⊥ -factorization holds to this order for gluon production -Our results for the gluon distribution are equivalent to the prior diagrammatic analysis of Kovchegov and Mueller. We also show that these results are equivalent to the computation of gluon production by Dumitru and McLerran in the Fock-Schwinger gauge. We demonstrate how the Cronin effect arises in this approach, and examine its behavior in the two extreme limits of a) no small-x quantum evolution, and b) fully saturated quantum evolution. In both cases, the formalism reduces to Glauber's formalism of multiple scatterings. We comment on the possible implications of this study for the interpretation of the recent results on Deuteron-Gold collisions at the Relativistic Heavy Ion Collider (RHIC).

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Section: Cronin Effect In Classical Gluon Productionmentioning

confidence: 99%

High energy pA collisions in the color glass condensate approach I: gluon production and the Cronin effect

Blaizot¹,

Gelis²,

2004

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“…However, they do not include the quantum effects arising from small-x evolution, that generate leading twist shadowing. The assumption of Gaussian correlations breaks down when α s ln(1/x) ∼ 1 [91,92]. The JIMWLK renormalization group equations [31,32,33,34,35,36,37,38,8,9,10] incorporate, in the CGC framework, these large quantum corrections in the x evolution of W [x A , ρ A ].…”

Section: Energy Evolution Of Correlators Via the Bk Equationmentioning

confidence: 99%

Quark pair production in high energy pA collisions: General features

2006

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A consistent treatment of both multiple scattering and small x quantum evolution effects on pair production in high energy pA collisions is feasible in the framework of the Color Glass Condensate (CGC) [1]. We first discuss the properties of quark pair production in the classical effective theory where only multiple scattering effects are included. Explicit results are given for pair production as a function of the invariant mass of pairs, the pair momenta, the atomic mass number A and the quark mass. We relate the logarithms that appear in our formulation of pair production to logarithms that appear in the limit of collinear factorization in QCD. Violations of k ⊥ factorization and medium modifications, as represented by the Cronin effect, are also investigated. We next consider how small x quantum evolution (shadowing) effects modify the results for pair production. In particular, we provide results for the rapidity distribution of pairs and the dependence of the Cronin effect on rapidity. We discuss the dependence of our results on the initial conditions for small x evolution and comment on its implications for pair production at RHIC and the LHC.1 URA 2306 du CNRS.

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“…The dipole cross section satisfies the non-linear JIMWLK [8] (BK [9] at large N c ) evolution equation. To relate this quark-nucleus (proton) target scattering cross section to hadron production in deuteron gold collisions, we convolute this cross section with the quark distribution function in a deuteron and quark-hadron fragmentation function.…”

Section: Scattering Of Quarks On a Color Glass Condensatementioning

confidence: 99%

Forward rapidity hadron production in deuteron–gold collisions from valence quarks

Jalilian‐Marian

2005

Nuclear Physics A

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We consider hadron production in deuteron gold collisions at RHIC in the forward rapidity region. Treating the target nucleus as a Color Glass Condensate and the projectile deuteron as a dilute system of valence quarks, we obtain good agreement with the BRAHMS minimum bias data on charged hadron production in the forward rapidity (y = 3.2) and low p t region. We provide predictions for neutral pion production in minimum bias deuteron gold collisions in the forward rapidity region, y = 3.8, measured by the STAR collaboration at RHIC.

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Gluon propagator in non-Abelian Weizsäcker-Williams fields

Abstract: We carefully compute the gluon propagator in the background of a non-Abelian Weizsäcker-Williams field. This background field is generated by the valence quarks in very large nuclei. We find contact terms in the small fluctuation equations of

Cited by 104 publications

References 12 publications

High energy pA collisions in the color glass condensate approach I: gluon production and the Cronin effect

High energy pA collisions in the color glass condensate approach I: gluon production and the Cronin effect

Quark pair production in high energy pA collisions: General features

Forward rapidity hadron production in deuteron–gold collisions from valence quarks

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