Lattice-Boltzmann models are also state-based models with update rules that are to be applied in a synchronous fashion. Although rectangular lattices are computationally convenient, they impose difficulties in achieving isotropic flow behavior. Therefore, we start with a hexagonal lattice of nodes in the plane: We assume a lattice spacing (the distance to the next node), λ, a time step, τ, unit...

In this work. we take into account the non gaussian properties of textures and we propose a new approach for their characterization based on bidimensional adaptive modelisation using higher order statistics. The 2DOLRIV (Bidimensionnal Overdetermined Lattice Recursive Instrumental Variable) algorithm allows accurate texture model estimation. Sets of ZD-AR coefficients obtained from the 2D refle...

Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an exponential rate as the size of the extra dimension increases. Before this method can be used in dynamical simulations of lattice QCD, the dependence of the...

A review of chiral perturbation theory for lattice QCD at non-zero lattice spacing is given.

A lattice determination of the form factor and decay constants for the semileptonic decay of heavy pseudoscalar (PS) mesons at zero recoil is presented from which the soft pion relation is satisfied. Chiral extrapolation of the form factor is performed at constant q 2. Pole dominance is used to extrapolate the form factor in heavy quark mass. At the B mass, the form factor at zero recoil lies s...

We calculate the pion and ρ meson masses in quenched SU(N) gauge theories for N = 2, 3, 4 and 6. Extrapolating these results to the chiral and large-N limits, we find mρ = (1.670± 0.024) √ σ = (741± 11) MeV for the ρ meson mass at a fixed lattice spacing a ≈ 0.093 fm. We estimate a continuum value, mρ = (786 ± 22) MeV, where we use the value σ = 1 GeV/fm ≈ (444 MeV) for the string tension. We f...

SU(2) lattice gauge theory is investigated where the traces of the Wilson lines at any lattice point and along each direction is constrained to zero. Hence, each of the lattice configurations possesses a vanishing density of heavy (anti-) quarks. The results are compared with those of pure SU(2) gauge theory which can be interpreted as the grand canonical realization of the heavy quark theory w...

We have explored twisted mass LQCD (tmLQCD) analytically using chiral perturbation theory, including discretization effects up to O(a), and working at next-to-leading (NLO) order in the chiral expansion. In particular we have studied the vacuum structure, and calculated the dependence of pion masses and decay constants on the quark mass, twisting angle and lattice spacing. We give explicit exam...

We confront the lattice results on QCD phase diagram for two and three flavors with the hadron resonance gas model. Taking into account the truncations in the Taylor-expansion of energy density ǫ done on the lattice at finite chemical potential μ, we find that the hadron resonance gas model under the condition of constant ǫ describes very well the lattice phase diagram. We also calculate the ch...

Present and future lattice calculations involving b and c quarks include some of the most important applications of lattice gauge theory to standard model physics. These include the heavy meson decay constants, the BB mixing amplitude, and various semileptonic decay amplitudes, which are all crucial in extracting CKM angles from experimental data. They also include the extraction of αs from the...