Within the framework of a local expansion of the logarithm of the O(N) σmodel vacuum functional, valid for slowly varying fields, the modified Virasoro algebra is studied. The operator-like central charge term is given, up to second order, for a general functional. Typeset using REVTEX ∗Email address: [email protected]

A versatile and metal-free approach for the synthesis of carbocycles and of heterocycles bearing seven- and eight-membered rings is described. The strategy is based on ring expansion of 1-vinylcycloalkanols (or the corresponding silyl or methyl ether) mediated by the hypervalent iodine reagent HTIB (PhI(OH)OTs). Reaction conditions can be easily adjusted to give ring expansion products bearing ...

The aim of the topological sensitivity analysis is to determine an asymptotic expansion of a design functional when creating a small hole inside the domain. In this work, such an expansion is obtained for a certain class of nonlinear PDE systems of order 2 in dimensions 2 and 3 with a Dirichlet condition prescribed on the boundary of an arbitrarily shaped hole. Some examples of such operators a...

For slowly varying fields the vacuum functional of a quantum field theory may be expanded in terms of local functionals. This expansion satisfies its own form of the Schrödinger equation from which the expansion coefficents can be found. For scalar field theory in 1+1 dimensions we show that this approach correctly reproduces the short-distance properties as contained in the counter-terms. We a...

We summarize results of [1]. Among other things, they compute the first order expansion to the surface tension for all q−state Potts models at very low temperatures. Using this expansion, they determine the asymptotic shape of the Wulff crystal defined by the surface tension functional determined by an infinite volume Gibbs State at very low temperature. Their results are formulated in terms of...

Within the framework of a local expansion of the logarithm of the O(N) σmodel vacuum functional, valid for slowly varying fields, the modified Virasoro algebra is studied. The operator-like central charge term is given, up to second order, for a general functional. Typeset using REVTEX ∗Email address: [email protected]

Background Diffuse interstitial fibrosis is a common end point in heart failure from multiple etiologies. The post contrast T1 time, extracellular volume (ECV) and partition coefficient (l) of gadolinium-based contrast media have been used to estimate expansion of myocardial interstitial space, as a surrogate of interstitial fibrosis. The aim of the study was to explore the relationship between...