We study the perturbative unitarity of non-commutative quantum Yang-Mills theories, extending previous investigations on scalar field theories to the gauge case where non-locality mingles with the presence of unphysical states. We concentrate our efforts on two different aspects of the problem. We start by discussing the analytical structure of the vacuum polarization tensor, showing how Cutkos...

In this paper, by modifying Cheng-Yau$'$s technique to complete hypersurfaces in $S^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [H. Li, Hypersurfaces with constant scalar curvature in space forms, {em Math. Ann.} {305} (1996), 665--672].  

Why quantum? spacetime? We find that the key idea underlying both is uncertainty. In a world lacking probes of unlimited delicacy, our knowledge quantities necessarily accompanied by Consequently, physics requires calculus number pairs and not only scalars for quantity alone. Basic symmetries shuffling sequencing dictate obey ordinary component-wise addition, but they can have three different m...

In this paper we present the design of a super-scalar processor constructed using optoelectronic components interconnected via high-speed free-space optical buses.

In this paper, we derived recurrence relations for joint moment generating functions of nonadjacent generalized order statistics (GOS) of random samples drawn from doubly truncated class of continuous distributions. Recurrence relations for joint moments of nonadjacent GOS (ordinary order statistics (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product moment gene...

The paper analyzes the structure and inner long-term dynamics of invariant compact sets for skewproduct flow induced by a family time-dependent ordinary differential equations nonhomogeneous linear dissipative type. main assumptions are made on term homogeneous equations. rich casuistic includes uniform stability sets, as well presence Li-Yorke chaos Auslander-Yorke inside attractor.

the ordinary tensor product of modules is defined using bilinear maps (bimorphisms), that are linear in eachcomponent. keeping this in mind, linton and banaschewski with nelson defined and studied the tensor product in an equational category and in a general (concrete) category k, respectively, using bimorphisms, that is, defined via the hom-functor on k. also, the so-called sesquilinear, or on...

We investigate the neutral Higgs sector of the minimal supersymmetric standard model in explicit CP violation scenario. Within the context of the effective potential formalism, the masses of the neutral Higgs bosons at the one-loop level are calculated by taking into account the contributions of the following loops of ordinary particles and superpartners: top quark, the scalar top quarks, botto...