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They re-examine the OSp(N, 4) invariant interacting model of massless chiral and gauge superfields, whose superconformal invariance was instrumental, both in proving the all-order no-renormalization of the mass and chiral self-int...
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They re-examine the OSp(N, 4) invariant interacting model of massless chiral and gauge superfields, whose superconformal invariance was instrumental, both in proving the all-order no-renormalization of the mass and chiral self-interaction Lagrangians, and in determining the linear superfield renormalization needed. They show that the renormalization of the gravitational action modifies only the cosmological term, without affecting higher-order tensors. This could explain why the effect of the cosmological constant is shadowed by the effects of Newtonian gravity.
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The calculation of the critical exponents of the n-vector model in 3 dimensions is discussed using field theoretical techniques. This calculation is based on a perturbative expansion at fixed dimensions of the various renormalizat...
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The calculation of the critical exponents of the n-vector model in 3 dimensions is discussed using field theoretical techniques. This calculation is based on a perturbative expansion at fixed dimensions of the various renormalization group (R.G.) functions. Since in 3 dimensions the fixed point S exp 4 coupling constant is not small, the perturbative expansion has to be resummed. A summation technique is presented using a Borel transformation and a conformal mapping on the variable, argument of the Borel transform. Such a conformal mapping has been made possible by the existence of methods to evaluate the large order behavior of perturbation theory. In addition the application of the same summation technique to the n=1 (Ising like) S exp 4 model in two dimensions, and the Wilson-Fisher epsilon-expansion is presented also. Finally the n=1, d=3 results for the exponents are compared with results obtained by analyzing the longer B.C.C. high temperature (H.T.) series obtained by Nickel, which seem to have eliminated the discrepancies between the R.G. predictions and lattice model calculations. (Atomindex citation 12:633302)
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These few pages are nothing but a brief and incomplete survey of some of the ideas involved in the renormalization group approach. (Atomindex citation 12:614443)
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The research conducted during the period of performance of this grant concerned investigation of large-scale geometry of prototypical and real- life large graphs, and their analytical/numeric estimation of their core congestion. T...
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The research conducted during the period of performance of this grant concerned investigation of large-scale geometry of prototypical and real- life large graphs, and their analytical/numeric estimation of their core congestion. The research included demonstration of delta-hyperbolicity in a large variety of communication and social networks via scaling of the curvature plots through renormalization, detection of graph bottlenecks using a novel techniques based on the Dirichlet eigenvectors of the (normalized) graph Laplacian, proof of the fact that remetrization (by factors away from zero and infinity) does not eliminate O(N sq) core congestion in delta-hyperbolic graphs, derivation of an analytical expression for the average nodal congestion involving the sum of the inverses of the non-zero eigenvalues of the graph Laplacian when random walk routing replaces geodesic routing, and finally determination of the threshold for bootstrap percolation in periodic trees as an upper bounding mechanism for the threshold for more general graphs.
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Based on Renormalization Group method, a reduction of non integratable multi-dimensional Hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density and for...
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Based on Renormalization Group method, a reduction of non integratable multi-dimensional Hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density and for the amplitudes of the angular modes have been derived. It has been shown that these equations are precisely the Renormalization Group equations. As an application of the approach developed, the modulational diffusion in one-and-a-half degrees of freedom dynamical system has been studied in detail.
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We present results at (beta) = 6.0 and 6.2 for the O(a) improvement andrenormalization constants for bilinear operators using axial and vector Ward identities. We discuss the extraction of the mass dependence of the renormalizatio...
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We present results at (beta) = 6.0 and 6.2 for the O(a) improvement andrenormalization constants for bilinear operators using axial and vector Ward identities. We discuss the extraction of the mass dependence of the renormalization constants and the coefficients of the equation of motion operators.
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A generalization of the single site KKR-CPA to include effects of clustering is presented here. The formalism combines the usual KKR ideas with the augmented space formalism introduced by the author. 15 references, 2 figures. (ERA...
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A generalization of the single site KKR-CPA to include effects of clustering is presented here. The formalism combines the usual KKR ideas with the augmented space formalism introduced by the author. 15 references, 2 figures. (ERA citation 12:029732)
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An extensive program to analyse critical systems using an Improved Monte Carlo Renormalization Group Method (IMCRG) being undertaken at LANL and Cornell is described. Here we first briefly review the method and then list some of t...
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An extensive program to analyse critical systems using an Improved Monte Carlo Renormalization Group Method (IMCRG) being undertaken at LANL and Cornell is described. Here we first briefly review the method and then list some of the topics being investigated. 9 refs. (ERA citation 11:012252)
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The renormalization group transformation applied earlier to the Hamiltonian Potts model to study the crossover from second-order to first-order transition as the number of states q increases is extended by taking larger cells in t...
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The renormalization group transformation applied earlier to the Hamiltonian Potts model to study the crossover from second-order to first-order transition as the number of states q increases is extended by taking larger cells in the block transformation. The results improve systematically with increasing block size. The critical value of q above which the transition is of first-order approaches 4, but the convergence is very slow. The classical equivalents of the new couplings, which drive the system to the first-order transition, are discussed. (ERA citation 11:026623)
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A system of fermions on a one-dimensional lattice, subject to a periodicpotential whose period is incommensurate with the lattice spacing and verifies a diophantine condition, is studied. The Schwinger functions are obtained, and ...
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A system of fermions on a one-dimensional lattice, subject to a periodicpotential whose period is incommensurate with the lattice spacing and verifies a diophantine condition, is studied. The Schwinger functions are obtained, and their asymptotic decay for large distances is exhibited for values of the Fermi momentum which are multiple of the potential period.
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