Conformal linear gravity in de Sitter space II

From the group theoretical point of view, it is proved that the theory of linear conformal gravity should be written in terms of a tensor field of rank-3 and mixed symmetry [Binegar, et al, Phys. Rev. D 27, (1983) 2249]. We obtained such a field equation in de Sitter space [Takook, et al, J. Math. Phys. 51, (2010) 032503]. In this paper, a proper solution to this equation is obtained as a product of a generalized polarization tensor and a massless scalar field and then the conformally invariant two-point function is calculated. This two-point function is de Sitter invariant and free of any pathological large-distance behavior.Comment: 16 pages, no figure, published versio

Auxiliary "massless" spin-2 field in de Sitter universe

For the tensor field of rank-2 there are two unitary irreducible representation (UIR) in de Sitter (dS) space denoted by $\Pi^{\pm}_{2,2}$ and $\Pi^{\pm}_{2,1}$ [1]. In the flat limit only the $\Pi^{\pm}_{2,2}$ coincides to the UIR of Poincar\'e group, the second one becomes important in the study of conformal gravity. In the pervious work, Dirac's six-cone formalism has been utilized to obtain conformally invariant (CI) field equation for the "massless" spin-2 field in dS space [2]. This equation results in a field which transformed according to $\Pi^{\pm}_{2,1}$, we name this field the auxiliary field. In this paper this auxiliary field is considered and also related two-point function is calculated as a product of a polarization tensor and "massless" conformally coupled scalar field. This two-point function is de Sitter invariant.Comment: 16 page

On exact solutions for quantum particles with spin S= 0, 1/2, 1 and de Sitter event horizon

Exact wave solutions for particles with spin 0, 1/2 and 1 in the static coordinates of the de Sitter space-time model are examined in detail. Firstly, for a scalar particle, two pairs of linearly independent solutions are specified explicitly: running and standing waves. A known algorithm for calculation of the reflection coefficient $R_{\epsilon j}$ on the background of the de Sitter space-time model is analyzed. It is shown that the determination of R_{\epsilon j} requires an additional constrain on quantum numbers \epsilon \rho / \hbar c >> j, where \rho is a curvature radius. When taken into account of this condition, the R_{\epsilon j} vanishes identically. It is claimed that the calculation of the reflection coefficient R_{\epsilon j} is not required at all because there is no barrier in an effective potential curve on the background of the de Sitter space-time. The same conclusion holds for arbitrary particles with higher spins, it is demonstrated explicitly with the help of exact solutions for electromagnetic and Dirac fields.Comment: 30 pages. This paper is an updated and more comprehensive version of the old paper V.M. Red'kov. On Particle penetrating through de Sitter horizon. Minsk (1991) 22 pages Deposited in VINITI 30.09.91, 3842 - B9

Estimation de I' enthalpie de fusion de mélanges eutectiques de sels fondus utilisables pour le stockage thermique de l'énergie

The use of the enthalpy of fusion of eutectic molten salt mixtures has been considered for thermal energy storage. A simple thermodynamic calculation has been stated : it enables to evaluate the enthalpy of fusion from the known enthalpy variations of pure substances. The enthalpies of fusion has been so determined for about fourty eutectic binary and ternary molten salt mixtures.Nous avons envisagé l'utilisation de l'enthalpie de fusion de mélanges eutectiques de sels fondus pour le stockage thermique de l'énergie. Un calcul thermodynamique simple a été établi : il permet d'évaluer l'enthalpie de fusion à partir de la connaissance des variations d'enthalpie des corps purs. Nous avons ainsi déterminé les enthalpies de fusion d'une quarantaine de mélanges eutectiques binaires et ternaires de sels fondus

ANOMALIES OF EXCESS HEAT CAPACITIES IN THE LIQUID ALLOYS Au-Sn

Between 630 K and 1695 K, using two complementary calorimetric technics, the variations of the enthalpy of mixing function of the Au-Sn system were determined on the whole concentration range. These results have been compared with the many data, already published for this system, obtained from different technics. A critical analysis of our results at several temperatures confirmed the existence of an important variation of the enthalpy of mixing and enabled us to evaluate the heat capacity variations against temperature of this mixture : the minimum which can be noticed on the plot ΔCp = f (X) corroborates the conclusions drawn from the structural studies published previously