529 research outputs found
Vector potential versus colour charge density in low-x evolution
We reconsider the evolution equations for multigluon correlators derived in
hep-ph/9709432. We show how to derive these equations directly in terms of
vector potentials (or colour field strength) avoiding the introduction of the
concept of colour charge density in the intermediate steps. The two step
procedure of deriving the evolution of the charge density correlators followed
by the solution of classical equations for the vector potentials is shown to be
consistent with direct derivation of evolution for vector potentials. In the
process we correct some computational errors of hep-ph/9709432 and present the
corrected evolution equations which have a somewhat simpler appearance.Comment: 15 pages, 1 figure, changes made referee report, to be published in
Phys. Rev
Quark production in high energy proton-nucleus collisions
In this note, we discuss the problem of quark-antiquark pair production in
the framework of the color glass condensate. The cross-section can be
calculated in closed form for the case of proton-nucleus collisions, where the
proton can be considered to be a dilute object. We find that kt-factorization
is broken by rescattering effects.Comment: 6 pages, 3 figures, based on talks given at Hard Probes 2004 by H.
Fujii and F. Geli
Non-Gaussian Correlations in the McLerran-Venugopalan Model
We argue that the statistical weight function W[rho] appearing in the
McLerran-Venugopalan model of a large nucleus is intrinsically non-Gaussian,
even if we neglect quantum corrections. Based on the picture where the nucleus
of radius R consists of a collection of color-neutral nucleons, each of radius
a<<R, we show that to leading order in alpha_s and a/R only the Gaussian part
of W[rho] enters into the final expression for the gluon number density. Thus,
the existing results in the literature which assume a Gaussian weight remain
valid.Comment: 21 pages with 4 figures (revtex
Shadowing of gluons in perturbative QCD: A comparison of different models
We investigate the different perturbative QCD-based models for nuclear
shadowing of gluons. We show that in the kinematic region appropriate to RHIC
experiment, all models give similar estimates for the magnitude of gluon
shadowing. At scales relevant to LHC, there is a sizable difference between
predictions of the different models.Comment: 11 pages, 4 figure
Small-x Parton Distributions of Large Hadronic Targets
A simple and intuitive calculation, based on the semiclassical approximation,
demonstrates how the large size of a hadronic target introduces a new
perturbative scale into the process of small-x deep inelastic scattering. The
above calculation, which is performed in the target rest frame, is compared to
the McLerran-Venugopalan model for scattering off large nuclei, which has first
highlighted this effect in the infinite momentum frame. It is shown that the
two approaches, i.e., the rest frame based semiclassical calculation and the
infinite momentum frame based McLerran-Venugopalan approach are quantitatively
consistent.Comment: 10 pages, 3 figure
The Wilson renormalization group for low x physics: towards the high density regime
We continue the study of the effective action for low physics based on a
Wilson renormalization group approach. We express the full nonlinear
renormalization group equation in terms of the average value and the average
fluctuation of extra color charge density generated by integrating out gluons
with intermediate values of . This form clearly exhibits the nature of the
phenomena driving the evolution and should serve as the basis of the analysis
of saturation effects at high gluon density at small .Comment: 14 pages, late
Forward Quark Jets from Protons Shattering the Colored Glass
We consider the single-inclusive minijet cross section in pA at forward
rapidity within the Color Glass Condensate model of high energy collisions. We
show that the nucleus appears black to the incident quarks except for very
large impact parameters. A markedly flatter p_t distribution as compared to QCD
in the dilute perturbative limit is predicted for transverse momenta about the
saturation scale, which could be as large as Q_s^2 ~ 10 GeV^2 for a gold
nucleus boosted to rapidity ~10 (as at the BNL-RHIC).Comment: 9 pages, no figure
Production of gluons in the classical field model for heavy ion collisions
The initial stages of relativistic heavy ion collisions are studied
numerically in the framework of a 2+1 dimensional classical Yang-Mills theory.
We calculate the energy and number densities and momentum spectra of the
produced gluons. The model is also applied to non central collisions. The
numerical results are discussed in the light of RHIC measurements of energy and
multiplicity and other theoretical calculations. Some problems of the present
approach are pointed out.Comment: 9 pages, 11 figures, RevTeX; error in eq. (11) corrected, figures
clarified, published in Phys. Rev.
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