This article is intended to provide a pedagogical introduction to the supersymmetry method for performing ensemble-averaging in Gaussian random-matrix theory. The method is illustrated by a detailed calculation of the simplest non-trivial physical quantity, namely, the second-order correlation in the density of states for two different energies within the spectrum (commonly known as the density...

We compute holographically the dispersion relation for a hydrodynamic mode of fluctuation (the phonino) of the density of supersymmetry current in N = 4 SYM at strong coupling. The mode appears as a pole at low frequency and momentum in the correlator of supercurrents. It has a wave-like propagation, and we find its speed and coefficient of attenuation. 1Unité Mixte du CRNS et de l’Ecole Normal...

The design of a real-time Linux application utilizing Real-Time Application Interface (RTAI) to process real-time data from the radio astronomy correlator for the Atacama Large Millimeter Array (ALMA) is described. The correlator is a custom-built digital signal processor which computes the cross-correlation function of two digitized signal streams. ALMA will have 64 antennas with 2080 signal s...

A finite energy sum rule (FESR) analysis of the isospin-breaking vector current correlator 〈0|T ( V 3 μ V 8 ν ) |0〉 is used to determine the isospin-breaking electromagnetic (EM) decay constants of the low-lying vector mesons. These results are used to evaluate the corrections required to extract the flavor diagonal 33 and 88 resonance contributions from the full resonance EM contributions to t...

We compute, in N = 4 super Yang-Mills, the four point correlation function of R-currents in the Regge limit in the leading logarithmic approximation at weak coupling. Such a correlator is the closest analog to photon-photon scattering within QCD, and there is a well defined procedure to perform the analogous computation at strong coupling via AdS/CFT. The main result of this paper is, on the ga...

Next-to-next-to-leading order vacuum polarization function of heavy quark near threshold and sum rules for b ¯ b system. Abstract A correlator of the vector current of a heavy quark is computed analytically near threshold in the next-to-next-to-leading order in perturbative and relativistic expansion that includes α 2 s , α s v and v 2 corrections in the coupling constant and velocity of the he...

The general correlator of composite operators of N=4 supersymmetric gauge field theory is divergent. We introduce a means for renormalizing these correlators by adding a boundary theory on the AdS space correcting for the divergences. Such renormalizations are not equivalent to the standard normal ordering of current algebras in two dimensions. The correlators contain contact terms that contrib...

The strange quark mass is determined from a study of the correlator 〈0|T (

The paper deals with the immunity to Electromagnetic Interference (EMI) of current source for Ultra-Low-Voltage Integrated Circuits (ICs). Based on properties IC building blocks, such as current-splitter and correlator, a novel generator is conceived. proposed solution suitable provide currents ICs operating in sub-threshold region even presence an electromagnetic polluted environment. EMI comp...