Abstract In this paper, we study a special type of cutoff regularization in the coordinate representation. We show how approach unites such concepts and properties as an explicit cut, spectral representation, homogenization, covariance. Besides that, present new formulae to work with give additional calculations infrared asymptotics for some regularized Green’s functions appearing pure four-dim...

We present a multipartite entanglement measure for N -qudit pure states, using the norm of the correlation tensor which occurs in the Bloch representation of the state. We compute this measure for important class of N -qutrit pure states, namely general GHZ states. We prove that this measure possesses almost all the properties expected of a good entanglement measure, including monotonicity. Fin...

The impact of $SU(3)$ center vortices on the Landau-gauge gluon propagator is calculated in presence dynamical fermions and compared to pure Yang-Mills case. found alter behavior vortex when established pure-gauge result. spectral representation also explored from perspective, where are shown exhibit clear signs positivity violation, which an indicator confinement. Vortex removal subsequently r...

We study the Gassner representation of the pure braid group Pn by considering its restriction to a free subgroup F . The kernel of the restriction is shown to lie in the subgroup [ΓF,ΓF ], sharpening a result of Lipschutz.

Freyd and Scedrov showed that the equational theory of representable allegories (essentially those allegories which have a settheoretic representation as relations) is decidable. This paper proves that the pure equational theory of allegories is decidable.

We investigate the spectral flows of the hermitian Wilson-Dirac operator in the fundamental and adjoint representations on two ensembles of pure SU(2) gauge field configurations at the same physical volume. We find several background gauge field configurations where the index of the hermitian Wilson-Dirac operator in the adjoint representation is not four times the index in the fundamental repr...

Genetic algorithms (GAs) are very efficient at exploring the entire search space; however, they are relatively poor at finding the precise local optimal solution in the region in which the algorithm converges. Hybrid GAs are the combination of improvement procedures, which are good at finding local optima, and GAs. There are two basic strategies for using hybrid GAs. In the first, Lamarckian le...