I review recent progress in finite temperature lattice calculations, including the study of the nature of the deconfinement transition in QCD, equation of state, screening of static quarks and meson spectral functions.

In this talk I summarize the progress achieved in recent years on the understanding of quarkonium properties at finite temperature. Theoretical studies from potential models, lattice QCD, and effective field theories are discussed. I also highlight a bridge from spectral functions to experiment.

Finite density simulations require dynamical fermions which are computationally demanding. We employ Ferrenberg and Swendsen reweighting method to reduce the number of ensembles needed. We use their method to do a combined reweighting in both β and quark number k on an ensemble generated by the Kentucky group.

Generalized transversity distributions encode essential information on the internal structure of hadrons related to transversely polarized quarks. Lattice QCD allows us to compute the lowest moments of these tensor generalized parton distributions. In this talk, we discuss a first lattice study of the Soffer bound and show preliminary results for transverse spin densities of quarks in the nucleon.

We analyze the gaugino condensation in the effective theory for N=1 SU(N) Supersymmetric QCD with Nf flavors. It is known that taking the vacuum expectation value of the matter field to be infinite, we can show that gaugino condensation can occur. At such a limit we should consider only pure supersymmetric Yang-Mills theory. But when we include an interaction term of order O( 1 v ), the situati...

An overview of the Lattice technique for studies of the strong interaction is given. Recent results from the UKQCD lattice collaboration are presented. These concentrate on spectral quantities calculated using full (i.e. unquenched) QCD. A comparison with quenched results is made. Novel methods of extracting spectral properties from two-point functions are described.

We investigate the Landshoff-Nachtmann two-gluon-exchange model of the Pomeron using gluon propagators computed in the Landau gauge within quenched lattice QCD calculations. We first determine an effective gluon-quark coupling by constraining the Pomeron-quark coupling to its phenomenological value β 0 = 2 GeV −1. We then provide predictions for a variety of diffractive processes. As the propag...

I review lattice QCD results relevant to the recently discovered hadrons: X(3782), Y (4260), and Ds(2317), because these seem, to me at least, to be the most interesting states from the perspective of solving and understanding QCD . The physical picture behind lattice QCD calculations is that an interpolating operator creates a hadron in the QCD vacuum. and after a specific time interval the ha...

We evaluate two-loop b → sγ matrix elements of all the four-quark operators containing no derivatives. Contrary to previous calculations, no expansion in the mass ratio mc/mb is performed, and all the possible Dirac and flavor structures are included. Consequently, we are able to provide the last item in the NLO analysis of B̄ → Xsγ that has been missing so far, namely the two-loop matrix elemen...