in this letter we have proposed a new regularization scheme to deal with the divergent integralsoccurring in the quantum mechanical problem of calculating the bound state energy of the delta-functionpotential in two and three dimensions. based on the schwinger parameterization technique we argue thatthere are no infinities even in d dimensions. in this way we were able to compare our proposal w...

We present an investigation of gauge invariant smearing for Wilson fermions on a 24 × 48 lattice at β = 6.2. We demonstrate a smearing algorithm that allows a substantial improvement in the determination of the baryon spectrum obtained using propagators smeared at both source and sink, at only a small computational cost. We investigate the matrix of correlators constructed from local and smeare...

We investigate the use of two types of non-local (\smeared") sources for quark propagators in quenched lattice QCD at = 6:0 using Wilson fermions at = 0:154 and 0:155. We present results for the hadron mass spectrum, meson decay constants, quark masses, the chiral condensate and the quark distribution amplitude of the pion. The use of smeared sources leads to a considerable improvement over pre...

The calculation of quark propagators for Ginsparg-Wilson-type Dirac operators is costly and thus limited to a few different sources. We present a new approach for determining spatially optimized operators for lattice spectroscopy of excited hadrons. Jacobi smeared quark sources with different widths are combined to construct hadron operators with different spatial wave functions. We study the R...

We calculate the kaon B-parameter in quenched lattice QCD at β = 6.0 using Wil-son fermions at κ = 0.154 and 0.155. We use two kinds of non-local (" smeared ") sources for quark propagators to calculate the matrix elements between states of definite momentum. The use of smeared sources yields results with much smaller errors than obtained in previous calculations with Wilson fermions. By combin...

We present a technique which permits the calculation of two-point functions of operators containing one heavy quark and an arbitrary number of light quarks as analytic functions of the heavy-quark mass. It is based on the standard Jacobi linear solver used for the calculation of quark propagators. Results for the heavy-light pseudoscalar and vector meson masses are obtained on 16 3 × 48 lattice...

Two field-sparsening methods, namely the sparse-grid method and random field selection method, are used in this paper for construction of 2-point 3-point correlation functions lattice QCD. We argue that, due to high among correlators at different points associated with source, current, sink locations, one can save a lot computational time by performing summation over subset sites. Furthermore, ...

The Schwinger-Dyson equations for the nucleon and meson propagators are solved self-consistently in an approximation that goes beyond the Hartree-Fock approximation. The traditional approach consists in solving the nucleon Schwinger-Dyson equation with bare meson propagators and bare meson-nucleon vertices; the corrections to the meson propagators are calculated using the bare nucleon propagato...