The renormalization group equation for the color glass condensate

Iancu, Edmond; Leonidov, A.; McLerran, Larry

doi:10.1016/s0370-2693(01)00524-x

Cited by 703 publications

(630 citation statements)

References 33 publications

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“…Defining Pn,p,q as the probability of producing n particles with p cut subdiagrams and q uncut subdiagrams, the former quantities are respectively Pn,m = p+q=m Pn,p,q and P (c) n,p = +∞ q=0 Pn,p,q. 19 In [39], this result was achieved thanks to an assumption about the impact factors, while in our model it follows naturally because particle production arises only through the coupling to an external source.…”

Section: Closer Connection With Reggeon Theorymentioning

confidence: 86%

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Particle production in field theories coupled to strong external sources, I: Formalism and main results

2006

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We develop a formalism for particle production in a field theory coupled to a strong time-dependent external source. An example of such a theory is the Color Glass Condensate. We derive a formula, in terms of cut vacuum-vacuum Feynman graphs, for the probability of producing a given number of particles. This formula is valid to all orders in the coupling constant. The distribution of multiplicities is non-Poissonian, even in the classical approximation. We investigate an alternative method of calculating the mean multiplicity. At leading order, the average multiplicity can be expressed in terms of retarded solutions of classical equations of motion. We demonstrate that the average multiplicity at next-to-leading order can be formulated as an initial value problem by solving equations of motion for small fluctuation fields with retarded boundary conditions. The variance of the distribution can be calculated in a similar fashion. Our formalism therefore provides a framework to compute from first principles particle production in proton-nucleus and nucleus-nucleus collisions beyond leading order in the coupling constant and to all orders in the source density. We also provide a transparent interpretation (in conventional field theory language) of the well known Abramovsky-Gribov-Kancheli (AGK) cancellations. Explicit connections are made between the framework for multi-particle production developed here and the framework of Reggeon field theory.

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Section: Closer Connection With Reggeon Theorymentioning

confidence: 86%

“…This is not a surprise because they are disconnected from one another 19 . Moreover, the average number of cut subdiagrams is equal to…”

Section: Closer Connection With Reggeon Theorymentioning

confidence: 99%

Particle production in field theories coupled to strong external sources, I: Formalism and main results

2006

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“…Proton-nucleus collisions therefore, for a wide energy range, provide an attractive physical environment wherein the proton probe may be considered as a dilute parton gas with properties that are believed to be well understood while the nucleus exists in a novel, saturated high density state. This latter state has been called a Color Glass Condensate (CGC) and its distinctive features have been extensively explored [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

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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“…The simplest model to this function should be a local Gaussian, however, it was verified that this consideration implies in a nonrealistic description of the RHIC experimental results concerning the hadron transverse momentum distribution [31]. In this work we have evaluated the cross section using the function C(l T , x, A) from the mean-field asymptotic solution for the JIMWLK evolution equation [32], introducing an x dependence through the nuclear saturation scale [13], which is parametrized in the form Q 2 s (x, A) = A 1/3 Q 2 s (x). These considerations imply for the correlator the following form [31,33] …”

Section: Dilepton Production In the Color Glass Condensatementioning

confidence: 99%

High density QCD through eletromagnetic probes

Betemps

2007

Braz. J. Phys.

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In this work we investigate the high density QCD system through the dilepton production. First, the dilepton production in the color dipole approach is investigated, studing perturbative unitarity corrections to the dipole cross section and its consequence in the transverse momentum distribution of the dileptons at RHIC and LHC energies. Second, the dilepton production in the context of the Color Glass Condensate is investigated. The transverse momentum distribution and the rapidity distribution are investigated to dilepton production at RHIC and LHC energies in this framework.

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The renormalization group equation for the color glass condensate

Cited by 703 publications

References 33 publications

Particle production in field theories coupled to strong external sources, I: Formalism and main results

Particle production in field theories coupled to strong external sources, I: Formalism and main results

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

High density QCD through eletromagnetic probes

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