Superrenormalizable quantum electrodynamics inn⩾4

In order to formulate a satisfactory QFT it is not sufficient to secure renormaliz-ability, but rather superrenormalizability. On the other hand, it is not necessary to search for a formalism completely free of infinities. A Superrenormalizable QED inn4 dimensions may be formulated by introducing a relativistic form factor preserving gauge invariance. This formalism is characterized by a running coupling constant and is asymptotically free. A relation between the bare and the dressed coupling constant is discussed anew.     

Supersymmetric Yang-Mills theories in D ⩾ 12

We present supersymmetric Yang-Mills theories in arbitrary even dimensions with the signature (9+m, 1 +m) where m = 0, 1, 2,… beyond ten dimensions up to infinity. This formulation utilizes null-vectors and is a generalization of our previous work in 10+2 dimensions to arbitrary even dimensions with the above signature. We have overcome the previously observed obstruction beyond 11+3 dimensions, by the aid of projection operators. Both component and superspace formulations are presented. This also suggests the possibility of consistent supergravity theories in any even dimensions beyond 10+1 dimensions.     

Anisotropy of arrival directions of E 0 ⩾ 8 × 1018 eV cosmic rays and cosmic microwave background

Results are presented that were obtained by analyzing the arrival directions of E ₀ ? 8 × 10¹⁸ eV primary cosmic rays recorded at the Yakutsk array over the period between 1974 and 2003 and at the SUGAR array (Australia). The greatest primary-cosmic-ray flux is shown to arrive from the region of visible intersection of the planes of the Galaxy and the Supergalaxy (local supercluster of galaxies) at a galactic longitude of about 137°. On a global scale, the lowest temperature of the cosmic microwave background is typical of this region.     

On the anisotropy of <Emphasis Type="Italic">E</Emphasis><Subscript>0</Subscript> ⩾ 5.5× 10<Superscript>19</Superscript> eV cosmic rays according to data of the Pierre Auger Collaboration

The Pierre Auger Collaboration discovered, in a solid angle of radius about 18°, a local group of cosmic rays having energies in the region E ₀ ≥ 5.5 × 10¹⁹ eV and coming from the region of the Gen A radio galaxy, whose galactic coordinates are l _G = 309.5° and b _G = 19.4°. Near it, there is the Centaur supercluster of galaxies, its galactic coordinates being l _G = 302.4° and b _G = 21.6°. It is noteworthy that the Great Attractor, which may have a direct bearing on the observed picture, is also there.     

Multipolar anisotropy of <Emphasis Type="Italic">E</Emphasis><Subscript>0</Subscript> ⩾ 10<Superscript>17</Superscript> eV cosmic rays according to data of the Yakutsk array for studying extensive air showers

The results obtained by analyzing arrival directions for primary cosmic particles characterized by energies in the region E ₀ ⩾ 10¹⁷ eV and zenith angles in the range θ ⩽ 60° and detected at the Yakutsk array for studying extensive air showers (EASs) over the period spanning 1974 and 2009 are presented. It is shown that these events exhibit different anisotropies in different energy intervals.