Many real-life constraints describing relations between the problem variables have complex semantics and the constraint domain is defined using a table of compatible tuples rather than using a formula. In the paper we study the implementation of filtering algorithms (propagators) for such tabular constraints. We concentrate on implementation aspects of these algorithms so the proposed propagato...

We summarise results for the propagators of Landau gauge QCD from the Green’s functions approach and lattice calculations. The nonperturbative solutions for the ghost, gluon and quark propagators from a coupled set of Dyson-Schwinger equations agree almost quantitatively with corresponding lattice results. Similar unquenching effects are found in both approaches. The dynamically generated quark...

Introducing creation and annihilation operators for negative frequency components extends the algebra of smeared local observables of quantum optics to include an associated classical random field optics.

We relate a Dp or NS-brane with D0-brane charge smeared over its worldvolume to the system with no D0-charge. This allows us to generalise Reall’s partial proof of the Gubser-Mitra conjecture. We show explicitly for specific examples that the dynamical instability coincides with thermodynamic instability in the ensemble where the D0-brane charge can vary. We also comment on consistency checks o...

Applying domain decomposition to the lattice Dirac operator and the associated quark propagator, we arrive at expressions which, with the proper insertion of random sources therein, can provide improvement to the estimation of the propagator. Schemes are presented for both open and closed (or loop) propagators. In the end, our technique for improving open contributions is similar to the “maxima...

The Wick rotation in quantum field theory is considered in terms of analytical continuation in the signature matrix parameter w = η00 . Regularization of propagators by a complex metric parameter in most cases preserves (i) the convergence of Feynmann integrals (understood as Lebesgue integrals) if the corresponding integrals of Euclidean theory are convergent; (ii) the regularity of propagator...

A truncation scheme for the Dyson{Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov{Taylor identities for the 3{point vertex functions. Neglecting contributions from 4{point correlations such as the 4{gluon vertex function and irreducible scattering kernels, a closed system of equations for the propagators is obtained. For the pure gauge theory without quarks ...

A truncation scheme for the Dyson–Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov–Taylor identities for the 3–point vertex functions. Neglecting contributions from 4–point correlations such as the 4–gluon vertex function and irreducible scattering kernels, a closed system of equations for the propagators is obtained. For the pure gauge theory without quarks ...

We have been reporting our quenched staggered light hadron mass calculations for the past few years [1]. Our inverse squared coupling is set at β=6.5 corresponding to a high cutoff of a∼3.7 GeV. The lattice volume of 48 × 64 covers about 2.6 fm across for each space dimension and hence is comfortable enough even for our lightest pion with mπ∼0.06 a =220 MeV. We calculated staggered quark propag...