Relativistic particle dynamics in D=2+1

We propose a SUSY variant of the action for a massless spinning particles via the inclusion of twistor variables. The action is constructed to be invariant under SUSY transformations and $\tau$-reparametrizations even when an interaction field is including. The constraint analysis is achieved and the equations of motion are derived. The commutation relations obtained for the commuting spinor variables $\lambda$ show that the particle states have fractional statistics and spin. At once we introduce a possible massive term for the non-interacting model.Comment: 11 page

Экологическая безопасность как объект административно-правового обеспечения

The article analyses the concept of «environmental security», presented in numerous publications and practically absent in the normative legal acts. Considered by some other, similar in content terms, such as «national security»; «public security». Invited to the author's definition of environmental security as the object of the administrative-legal regulation and a number of recommendations on incorporating this term in regulatory legal acts.В статье проанализировано понятие «экологическая безопасность», присутствующее в многочисленных публикациях и нормативных правовых актах. Рассмотрены некоторые другие, близкие по содержанию термины, например «национальная безопасность»; «государственная безопасность». Предложено авторское определение экологической безопасности как объекта административно-правового обеспечения и некоторые рекомендации по закреплению этого термина в нормативных правовых актах

Частные субъекты административно-правового регулирования недропользования

We consider the questions of the participation of private subjects administrative and legal regulation in the sphere of subsoil use, given their classification and made suggestions to improve regulations.В статье рассмотрены вопросы участия частных субъектов административно-правового регулирования в сфере недропользования, дана их классификация и внесены предложения по совершенствованию нормативных правовых акто

Административно-правовой статус общественных объединений в Республике Таджикистан: вопросы государственной регистрации

The basic principles of the state registration of public associations explores some of the peculiarities of legal regulation of the procedure of their reorganization and liquidation as private actors administrative relations.В статье рассмотрены основные положения государственной регистрации общественных объединений, исследуются некоторые особенности законодательного регулирования порядка их реорганизации и ликвидации как частных субъектов административных правоотношений

New Critical Behavior in Einstein-Yang-Mills Collapse

We extend the investigation of the gravitational collapse of a spherically symmetric Yang-Mills field in Einstein gravity and show that, within the black hole regime, a new kind of critical behavior arises which separates black holes formed via Type I collapse from black holes formed through Type II collapse. Further, we provide evidence that these new attracting critical solutions are in fact the previously discovered colored black holes with a single unstable mode.Comment: 13 pages, 4 figure

Hairy rotating black string in the Einstein-Maxwell-Higgs system

We show numerically that the Abelian Higgs field equations in the background of a four-dimensional rotating charged black string have vortex solutions. These solutions which have axial symmetry show that the rotating black string can support the Abelian Higgs field as hair. We find that one encounters with an electric field coupled to the Higgs scalar field for the case of rotating black string. This electric field is due to an electric charge per unit length, which increases as the rotation parameter becomes larger. We also find that the vortex thickness decreases as the rotation parameter grows up. Finally we consider the self-gravity of the Abelian Higgs field and show that the effect of the vortex is to induce a deficit angle in the metric under consideration which decreases as the rotation parameter increases.Comment: 16 pages, 8 figures, references added, some minor corrections don

Beta decay and other processes in strong electromagnetic fields

We consider effects of the fields of strong electromagnetic waves on various characteristics of quantum processes. After a qualitative discussion of the effects of external fields on the energy spectra and angular distributions of the final-state particles as well as on the total probabilities of the processes (such as decay rates and total cross sections), we present a simple method of calculating the total probabilities of processes with production of non-relativistic charged particles. Using nuclear beta-decay as an example, we study the weak and strong field limits, as well as the field-induced beta-decay of nuclei stable in the absence of the external fields, both in the tunneling and multi-photon regimes. We also consider the possibility of accelerating forbidden nuclear beta-decays by lifting the forbiddeness due to the interaction of the parent or daughter nuclei with the field of a strong electromagnetic wave. It is shown that for currently attainable electromagnetic fields all effects on total beta-decay rates are unobservably small.Comment: LaTeX, 30 pages, 2 figures. Invited contribution to the special issue of Yadernaya Fizika dedicated to the centennial anniversary of birthday of A.B. Migdal. V2: references adde

The Effective Action For Brane Localized Gauge Fields

The low energy effective action including gauge field degrees of freedom on a non-BPS p=2 brane embedded in a N=1, D=4 target superspace is obtained through the method of nonlinear realizations of the associated super-Poincare symmetries. The invariant interactions of the gauge fields and the brane excitation modes corresponding to the Nambu-Goldstone degrees of freedom resulting from the broken space translational symmetry and the target space supersymmetries are determined. Brane localized matter field interactions with the gauge fields are obtained through the construction of the combined gauge and super-Poincare covariant derivatives for the matter fields.Comment: 12 pages, no figure

Global Monopole in Asymptotically dS/AdS Spacetime

In this paper, we investigate the global monopole in asymptotically dS/Ads spacetime and find that the mass of the monopole in the asymptotically dS spacetime could be positive if the cosmological constant is greater than a critical value. This shows that the gravitational field of the global monopole could be attractive or repulsive depending on the value of the cosmological constant.Comment: 5 pages, 1 figure, to appear in Phys. Rev.