We report on the scaling of basic hadronic observables in lattice QCD with N f = 2 maximally twisted Wilson dynamical quarks. We give preliminary results for some of the Gasser–Leutwyler low energy constants, the chiral condensate and the average mass of u and d quarks.

An effective residual interaction for a meson-meson system is computed in lattice QCD. We describe the theoretical framework and present its application to the I = 2 channel S-wave interaction of the π–π system. Scattering phase shifts are also computed and compared to experimental results.

We provide a brief introduction to the high density effective theory of QCD. As an application, we consider the instanton correction to the perturbatively generated gap in the color superconducting phase. We show that the instanton correction becomes large for μ ∼ 1.25 GeV in Nf = 2 QCD, and for μ ∼ 750 MeV in Nf = 3 QCD with a massive strange quark. We also study some other numerical issues re...

2-color QCD at finite temperature T and chemical potential μ is revisited in the strong coupling limit on the lattice. The phase structure in the space of T , μ and the quark mass m is elucidated with the use of the mean field approximation and the large dimensional expansion. We put special emphasis on the interplay among the chiral condensate, the diquark condensate and the quark density in t...

We derive a universality result for the fermionic contribution to the one loop vacuum polarisation in Lattice QCD. This leads in turn to a universality result for the fermionic contribution to the leading term in the weak coupling expansion of the Lattice QCD β-function. A general formula for the fermionic contribution to the ratio of lattice and continuum Λ-parameters is also obtained.

We compute the static-light meson spectrum using two-flavor Wilson twisted mass lattice QCD. We have considered five different values for the light quark mass corresponding to 300 MeV < ∼ m PS < ∼ 600 MeV. We have extrapolated our results, to make predictions regarding the spectrum of B and B s mesons.

Kaon physics is an area in which lattice QCD can have an important impact in Phenomenology. I review the recent progress and current status of three particular topics: kaon beta-decay, the kaon B-parameter and the non-leptonic decay of the kaon into two pions.

Pure gauge lattice QCD at arbitrary D is considered. Exact integration over link variables in an arbitrary D-volume leads naturally to an appearance of a set of surfaces filling the volume and gives an exact expression for functional of their boundaries. The interaction between each two surfaces is proportional to their common area and is realized by a non-local matrix differential operator act...

We introduce four-point functions in the hadronic ladder resummation approach to large Nc QCD Green functions. We determine the relevant one to calculate the BK kaon parameter in the chiral limit. This four-point function contains both the large momenta QCD OPE and the small momenta ChPT at NLO limits, analytically. We get B̂ K = 0.38 ± 0.15. We also give the ChPT result at NLO for the relevant ...

Migdal and Kazakov have suggested that lattice QCD with an adjoint representation scalar in the infinite coupling limit could induce QCD. I find an exact saddlepoint of this theory for infinite N in the case of a quadratic scalar potential. I discuss some aspects of this solution and also show how the continuum D = 1 matrix model with an arbitrary potential can be reproduced through this approa...