Abstract:
We investigate the non-Abelian Bianchi identities in pure SU(2) lattice Yang-Mills theory in three and four dimensions. The non-Abelian Stokes theorem proposed recently allows to formulate the Bianchi identities in terms of local physical fluxes. Then the violation of Bianchi identities becomes a well defined concept ultimately related to chromomagnetic fields degeneracy points. We present numerical evidences that in D=4 the suppression of the Bianchi identities violation destroys confinement while the removal of the degeneracy points drives the theory to the topologically non-trivial sector.

Abstract:
We investigate SU(2) gauge fields topology using new approach, which exploits the well known connection between SU(2) gauge theory and quaternionic projective sigma-models and allows to formulate the topological charge density entirely in terms of sigma-model fields. The method is studied in details and for thermalized vacuum configurations is shown to be compatible with overlap-based definition. We confirm that the topological charge is distributed in localized four dimensional regions which, however, are not compatible with instantons. Topological density bulk distribution is investigated at different lattice spacings and is shown to possess some universal properties.

Abstract:
We consider the non-Abelian Bianchi identities in SU(2) pure Yang-Mills theory in D=3,4 focusing on the possibility of their violation and the significance of the chromomagnetic fields degeneracy points. We show that the recently proposed non-Abelian Stokes theorem allows to formulate the Bianchi identities in terms of the physical fluxes and their relative color orientations. Then the violation of Bianchi identities becomes a well defined concept ultimately related to the degeneracy points. The locality and gauge invariance of our approach allows to study the problem numerically. We present evidences that in D=4 the suppression of the Bianchi identities violation is likely to destroy confinement while the removal of the degeneracy points drives the theory to the topologically non-trivial sector. However, confronting the results obtained in three and four dimensions we argue that it is the mass dimension two condensate which probably explains our findings.

Abstract:
We describe up to finite coverings causal flat affine complete Lorentzian manifolds such that the past and the future of any point are closed near this point. We say that these manifolds are strictly causal. In particular, we prove that their fundamental groups are virtually abelian. In dimension 4, there is only one, up to a scaling factor, strictly causal manifold which is not globally hyperbolic. For a generic point of this manifold, either the past or the future is not closed and contains a lightlike straight line.

We describe a
new method for transparent and conductive films based on carbon nanotubes and
bovine serum albumin composite development. Films are deposited from an aqueous
solution of carbon nanotubes/bovine serum albumin by drop-coating and
rod-coating methods. Sheet resistances of as-prepared films vary from 200
Ohm/sq with 50% transmittance to 30 KOhm/sq
with 90% transmittance. The maximum s_{dc}/s_{op} ration found in
this work is 2.27, which gives
a DC conductivity of 4.55× 10^{4}S·m^{－1}. Atomic force microscopy and Raman spectroscopy studies of the films
show that the process of film formation produces neither structural nor
chemical changes in the nanotubes. Possibility of usingthesefilms forcell culturing istested onhuman embryonic fibroblastcell line. Therefore, it is first
time ever in literature, when proposed a method, allowing fabricating at the
same time transparent, high-conductive and biocompatible CNT films.

Abstract:
The technological scheme implementing machine engraving on a mineral and facsimile transfer of the halftone image from the personal computer is offered. The dot (microstroke) image is formed by a pulse system together with an electromechanical converter, such that the integral optical density of separate fragments equals optical density of the same fragments of the initial image.Structural construction and separate parameters of a two-level hierarchical control system are formalized.The description of the top level of the developed hierarchical control system is given.

Abstract:
We observed a tsunami wave near the glacier front in the Temple Fjord (Spitsbergen). Two temperature and pressure recorders were deployed on a wire from the ice approximately 300 m from the glacier front. A pressure recorder was located under them on the bottom. The vertical displacement of the ice was approximately 30 cm and the period of the tsunami wave was 90 s. We attribute the generation of this wave to the displacement of the glacier similarly to the landslide tsunami generated by the motion of a block of rocks down the sloping bottom. The glacier motion also generated a short-period (12 s) deformation wave in the ice cover. The measurements allowed us to estimate the wave number of these waves and the Young's modulus of the ice.

Abstract:
This paper had been withdrawn because the prime reported effect had not been confirmed in further investigations (see arXiv:0812.4488 [hep-lat]).

Abstract:
We study propagators of diagonal and off-diagonal gluons in the momentum space in maximal abelian gauge of SU(2) lattice gauge theory. Remaining U(1) degrees of freedom are fixed using Landau gauge. We find substantial difference between the propagator of the diagonal and the off-diagonal gluon in the infrared region. The propagator of the off-diagonal gluon is suppressed in comparison with that of the diagonal gluon at small momenta. In the ultraviolet region both propagators behave as in nonabelian Landau gauge.