Principal chiral models on a d-1 dimensional simplex are introduced and studied analytically in the large N limit. The d = 0, 2, 4 and ∞ models are explicitly solved. Relationship with standard lattice models and with few-matrix systems in the double scaling limit are discussed. ⋆ Work supported in part by the Department of Energy under contract DE-FG02-91ER40688Task A The importance of underst...

The modern Western Weltanschauung, affirming an empirical view of the world, tends towards a singular analysis of complexity. Compartmentalization and dissociation are emphasized, and reinforced by the structure of the Simple Hierarchy that the Weltanschauung promotes. Within human institutions, this structure characteristically gives rise to unsatisfactory political environments, which are rig...

It is at times important to detect human presence automatically in secure environments. This needs a shape recognition algorithm that is robust, fast and has low error rates. The algorithm needs to process camera images quickly to detect any human in the range of vision, and generate alerts, especially if the object under scrutiny is moving in certain directions. We present here a simple, effic...

We calculate the two-loop β-functions for soft supersymmetry-breaking interactions in a general supersymmetric gauge theory, emphasising the role of the evanescent couplings and masses that are generic to a non-supersymmetric theory. We also show that a simple set of conditions sufficient for one-loop finiteness renders a theory two-loop finite, and we speculate on the possible significance of ...

Abstract Exchange bias (EB) occurring in ferromagnetic (FM)/antiferromagnetic (AFM) bilayers conventionally can lead to a unidirectional magnetic anisotropy ( K eb ) as well an accompanied unia...

dehbid mylonite nappes associated with the tutak gneiss dome as the zagros hinterland involved-basement window in the zagros orogenic belt has significant components of dextral sense of shear along the mylonite nappes and are related to the high proportion of simple shear relative to pure shear deformation. kinematic vorticity analysis (wk) was made in order to determination of relative amounts...

let $g$ be a finite group‎. ‎we denote by $psi(g)$ the integer $sum_{gin g}o(g)$‎, ‎where $o(g)$ denotes the order of $g in g$‎. ‎here we show that‎ ‎$psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$‎, ‎where $a_5$ is the alternating group of degree $5$‎. ‎also we prove that $psi(psl(2,7))