Improved Geometrical Scaling at the LHC

We show that geometrical scaling exhibited by the $p_{\rm T}$ spectra measured by the CMS collaboration at the LHC is substantially improved if the exponent $\lambda$ of the saturation scale depends on $p_{\rm T}$. This dependence is shown to be the same as the dependence of small $x$ exponent of $F_2$ structure function in deep inelastic scattering taken at the scale $Q=p_{\rm T}/2$Comment: 4 pages, 3 figures. In v2 a misprint concerning p_T dependence of lambda_eff corrected. In v3: small corrections, reference added, to appear in Physical Review Letter

Non-Abelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus

We consider a very large ultra-relativistic nucleus. Assuming a simple model of the nucleus and weak coupling we find a classical solution for the gluon field of the nucleus and construct the two-dimensional color charge density for McLerran-Venugopalan model out of it. We prove that the density of states distribution, as a function of color charge density, is Gaussian, confirming the assumption made by McLerran and Venugopalan.Comment: 9 pages, REVTeX, 1 figure, some minor changes include

Relativistic heavy-ion physics: three lectures

These lectures provide an introduction to the physics issues which are being studied in the collisions of ultrarelativistic heavy ions. The lectures are focused on the production of new states of matter. The quark-gluon plasma is thermal matter which once existed in the Big Bang. The colour glass condensate is a universal form of high energy density gluonic matter which is part of a hadron wavefunction and which controls the high-energy limit of strong interactions. The glasma is matter produced in the collisons of high-energy hadrons which evolves into a quarkgluon plasma. The glasma has interesting topological properties and may be responsible for the early thermalization seen at RHIC. I introduce the student to these topics, discuss results from experiments, and comment upon future opportunities

Summary Talk for ISMD 06

I give an overview of the presentations at the International Symposium on Multiparticle Dynamic