A Faddeev-Niemi Solution that Does Not Satisfy Gauss' Law

Faddeev and Niemi have proposed a reformulation of SU(2) Yang-Mills theory in terms of a U(1) gauge theory with 8 off-shell degrees of freedom. We present a solution to Faddeev and Niemi's formulation which does not solve the SU(2) Yang-Mills Gauss constraints. This demonstrates that the proposed reformulation is inequivalent to Yang-Mills, but instead describes Yang-Mills coupled to a particular choice of external charge.Comment: 10 pages, no figure

Wilsonian effective action for SU(2) Yang-Mills theory with Cho-Faddeev-Niemi-Shabanov decomposition

The Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field is employed for the calculation of the corresponding Wilsonian effective action to one-loop order with covariant gauge fixing. The generation of a mass scale is observed, and the flow of the marginal couplings is studied. Our results indicate that higher-derivative terms of the color-unit-vector $\mathbf{n}$ field are necessary for the description of topologically stable knotlike solitons which have been conjectured to be the large-distance degrees of freedom.Comment: 15 pages, no figures, v2: minor improvements, one reference added, version to appear in PR

Brownian motion of Massive Particle in a Space with Curvature and Torsion and Crystals with Defects

We develop a theory of Brownian motion of a massive particle, including the effects of inertia (Kramers' problem), in spaces with curvature and torsion. This is done by invoking the recently discovered generalized equivalence principle, according to which the equations of motion of a point particle in such spaces can be obtained from the Newton equation in euclidean space by means of a nonholonomic mapping. By this principle, the known Langevin equation in euclidean space goes over into the correct Langevin equation in the Cartan space. This, in turn, serves to derive the Kubo and Fokker-Planck equations satisfied by the particle distribution as a function of time in such a space. The theory can be applied to classical diffusion processes in crystals with defects.Comment: LaTeX, http://www.physik.fu-berlin.de/kleinert.htm

Thermodynamic modeling of phase composition for Fe-Ca-Si-Al system

In this paper, theoretical studies on the construction of phase structure diagrams of the Fe-Ca-Si-Al system as modeling composition of alloy by Thermodynamic-diagram analysis (TDA) were carried out. TDA analysis allows predicting the optimal composition of alloys using phase structure diagrams of the multicomponent systems. TDA excludes complex mathematical apparatus. Also, TDA allows to obtaine data for the Fe-Ca-Si-Al system, a diagram of phase relationships, each elementary subsystem of which is independent. By analyzing the binary systems, the state diagram of Fe-Ca-Si-Al metal system was constructed, which simulates the final phase composition of the ferroalloy. The reliability of the effectiveness of these methods is confirmed by large-scale laboratory melting tests

Thermodynamic modeling of phase composition for Fe-Ca-Si-Al system

In this paper, theoretical studies on the construction of phase structure diagrams of the Fe-Ca-Si-Al system as modeling composition of alloy by Thermodynamic-diagram analysis (TDA) were carried out. TDA analysis allows predicting the optimal composition of alloys using phase structure diagrams of the multicomponent systems. TDA excludes complex mathematical apparatus. Also, TDA allows to obtaine data for the Fe-Ca-Si-Al system, a diagram of phase relationships, each elementary subsystem of which is independent. By analyzing the binary systems, the state diagram of Fe-Ca-Si-Al metal system was constructed, which simulates the final phase composition of the ferroalloy. The reliability of the effectiveness of these methods is confirmed by large-scale laboratory melting tests

Modelling of Terminal Connectors for Testing and Obtaining Prestressing FRP Reinforcement

The article presents the possibility of using terminal connectors with wedge grips. To determine the loadcarrying capacity of the wedge grips, it is necessary to calculate the drag force on the surface between the FRP reinforcement and the slip. As a result, the friction force on the contact surface is supplemented with the drag force generated by plastic shear strain of the pipe body

Investigation of the structure of cement conglomerates

This article describes the structural studies of a cement conglomerate, its evolution from the moment of formation to the loss of operational properties. Physical and chemical phenomena and interactions of various elements of cement stone are considered. The study of its rheology includes creating a virtual model and monitoring the formation of the structure of cement pastes by acoustic emission (AE). The results of combined experimental studies to determine the residual life of cement stone samples using AE and tensometry methods are presented. The authors created a complex for monitoring the stress-strain state of artificial conglomerates, which includes both internal and acoustic sensors

Clinical efficacy of a betablockers therapy in patients with chronic heart failure on the background of postinfarction cardiosclerosis

Despite the fact that betablockers (BBs) are one of the main groups of therapy of patients with acute myocardial infarction (AMI), the comparative effectiveness of various BBs in patients with postinfarction cardiosclerosis (PICS) is uncertain. There was performed comparative analysis of clinical efficacy of BBs in patients with chronic heart failure (CHF) on the background of coronary heart disease (CHD), PICS. There was evaluated the impact of metoprolol succinate, carvedilol, bisoprolol and betaxolol on blood pressure (BP), left ventricular ejection fraction (LVEF), change the functional class of chronic heart failure, and mortality in patients over 4 year