Results from Lattice QCD

I present our recent results on the critical end point in the \mu_B-T phase diagram of QCD with two flavours of light dynamical quarks and compare them with similar results from other groups. Implications for a possible energy scan at the RHIC are discussed. I also comment briefly on the new results of great relevance to heavy ion collisions from finite temperature lattice QCD simulations on speed of sound, specific heat and on the fate of J/\psi.Comment: Invited Plenary Talk given at 5th International Conference on Physics and Astrophysics of Quark Gluon Plasma, Kolkata, India, February 8-12, 2005; LaTeX in Journal of Physics G style; 9 pages including figure

BFKL, BK and the Infrared

The perturbative non-linear (NL) effects in the small-$x$ evolution of the gluon densities depend crucially on the infrared (IR) regularization. The IR regulator, $R_c$, is determined by the scale of the non-perturbative fluctuations of QCD vacuum. From the instanton models and from the lattice $R_c\sim 0.3$ fm. For perturbative gluons with the propagation length $R_c= 0.26$ fm the linear BFKL gives a good description of the proton structure function $F_2(x,Q^2)$ in a wide range of $x$ and $Q^2$. The NL effects turn out to be rather weak and amount to the 10% correction to $F_2(x,Q^2)$ for x\lsim 10^{-5}. Much more pronounced NL effects were found in the non-linear model, described in the literature, with a very soft IR regularization corresponding to the IR cutoff at $\simeq \Lambda^{-1}_{QCD}$. The latter issue is also commented below.Comment: 5 pages, LaTeX, Talk at the workshop Diffraction 2012, Puerto del Carmen, Lanzarote, Spain, Sept. 10-15, 201