Majorana Dark Matter

In this letter in the framework of a simple see-saw scenario with two (or three) quasi degenerate Majorana neutrinos we propose that one of these neutrinos can be very weakly coupled, yet there is a mechanism of the generation of the abundance of such "dark" neutrino in the early universe. The mechanism of production is due to oscillations between "dark" Majorana neutrino and one of the Majorana's which has relatively large Yukawa couplings ("bright" Majorana neutrino). The transition of "bright" Majorana into a "dark" one is nonadiabatic. We point out on the similarity with the Landau-Zener transition regime. In our model one can explain the observed dark matter density, present matter-antimatter asymmetry and active neutrino data all at the same timeComment: 9 pages, 1 figur

B-Inflation

We propose a novel model of inflation based on a large class of covariant effective actions containing only the second derivatives of a scalar field. The initial conditions leading to the inflationary solutions in this model are rather generic. The graceful exit from the inflationary regime is natural once the first order derivative terms are included.Comment: 21 pages,10 figures, references added, Fig.1 slightly corrected, discussion about stability is extende

Parliamentary Sovereignty in the Modern Legal Policy in the Russian Federation and Great Britain

As far back as in the “public choice theory” of J. Buchanan and F.A. Hayek an attempt to figure out the causes of distortion of a democratic ideal and evolving of law into a corruption outrage was made. This trend was explained by the fact that at the early stages of the people’s power development the acknowledgement of parliamentary power supremacy was a coercive measure that was useful for the new statehood. The existence of parliamentary sovereignty in Great Britain and then in other European countries was initially stipulated by the fight of the bourgeoisie having gained political power and needing an absolute independence of the parliament with the feudal absolutism, then by the resistance between the bourgeoisie and the working class. In the modern world there is no such a correlation of classes, because the estates bounds are removed and the living standards are evened. The social basis for a democratic state is the middle class. The main purpose of the state is to provide itself with nationwide support. The last one is required taking account of the growth of extremism and the appearance of various revolutionary studies calling for a forcible change of regime and an establishment of totalitarian dictatorship under socialist, nationalist and other slogans. Along with this, the number of advocates of such radical methods in the world increases from year to year. Keywords: Parliamentary sovereignty; public choice; competition; bodies of power; federalism; system of restrictions

Some Issues in Flat Direction Baryogenesis

Motivated by recent developments, we explore some issues in Affleck-Dine baryogenesis. We consider in greater detail the role of thermal effects in the production of baryon number. We find that these effects are important even for rather flat potentials, and obtain somewhat different estimates of the baryon asymmetry than those in the literature. We also consider the decay of the condensate, and possible implications of these observations for the formation of Q-balls.Comment: Latex, 14 pages. Typos and some minor errors fixe

Electronic correlations in promising room-temperature superconductor Pb9_9Cu(PO4_4)6_6O: a DFT+DMFT study

We present results of the first investigations on the correlated nature of electronic states that cross the Fermi level in Pb$_9$Cu(PO$_4$)$_6$O aka LK-99 obtained within the DFT + DMFT approach. Coulomb correlations between Cu-$d$ electrons led to the opening of the band gap between the extra-O $p$ and Cu $d_{xz}/d_{yz}$ states. We state that oxygen $p$ states play a significant role in the electronic properties of LK-99. We also assume that doping with electrons is necessary to turn the stoichiometric Pb$_9$Cu(PO$_4$)$_6$O into conducting state

Brane World Susy Breaking from String/M Theory

String and M-theory realizations of brane world supersymmetry breaking scenarios are considered in which visible sector Standard Model fields are confined on a brane, with hidden sector supersymmetry breaking isolated on a distant brane. In calculable examples with an internal manifold of any volume the Kahler potential generically contains brane--brane non-derivative contact interactions coupling the visible and hidden sectors and is not of the no-scale sequestered form. This leads to non-universal scalar masses and without additional assumptions about flavor symmetries may in general induce dangerous sflavor violation even though the Standard Model and supersymmetry branes are physically separated. Deviations from the sequestered form are dictated by bulk supersymmetry and can in most cases be understood as arising from exchange of bulk supergravity fields between branes or warping of the internal geometry. Unacceptable visible sector tree-level tachyons arise in many models but may be avoided in certain classes of compactifications. Anomaly mediated and gaugino mediated contributions to scalar masses are sub-dominant except in special circumstances such as a flat or AdS pure five--dimensional bulk geometry without bulk vector multiplets.Comment: Latex, 83 pages, references adde

Comments on Non-Commutative Phenomenology

It is natural to ask whether non-commutative geometry plays a role in four dimensional physics. By performing explicit computations in various toy models, we show that quantum effects lead to violations of Lorentz invariance at the level of operators of dimension three or four. The resulting constraints are very stringent.Comment: Correction of an error in the U(1) and U(N) calculation leads to stronger limits than those given previously Clarifying comments and reference adde