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We point out that resonance saturation in QCD can be understood in the large-Nc limit from the mathematical theory of Pade Approximants to meromorphic functions. These approximants are rational functions which encompass any saturation with…

High Energy Physics - Phenomenology · Physics 2009-11-13 P. Masjuan , S. Peris

Bayesian Model Mixing (BMM) is a statistical technique that can be used to combine models that are predictive in different input domains into a composite distribution that has improved predictive power over the entire input space. We…

Nuclear Theory · Physics 2023-11-02 A. C. Semposki , R. J. Furnstahl , D. R. Phillips

Low-rank approximations are essential in modern data science. The interpolative decomposition provides one such approximation. Its distinguishing feature is that it reuses columns from the original matrix. This enables it to preserve matrix…

Numerical Analysis · Mathematics 2022-06-08 Rishi Advani , Sean O'Hagan

We investigate the outcomes of measurements on correlated, few-body quantum systems described by a quaternionic quantum mechanics that allows for regions of quaternionic curvature. We find that a multi-particle interferometry experiment…

High Energy Physics - Theory · Physics 2009-10-28 S. P. Brumby , G. C. Joshi , Ronald Anderson

This paper introduces a new framework for constructing the Discrete Empirical Interpolation Method DEIM projection operator. The interpolation node selection procedure is formulated using the QR factorization with column pivoting, and it…

Numerical Analysis · Computer Science 2016-09-26 Zlatko Drmac , Serkan Gugercin

We investigate the relation between holographic calculations in 5D and the Migdal approach to correlation functions in large N theories. The latter employs Pade approximation to extrapolate short distance correlation functions to large…

High Energy Physics - Phenomenology · Physics 2010-10-27 Adam Falkowski , Manuel Perez-Victoria

We present a general theoretical formulation to describe the interlayer interaction in incommensurate bilayer systems with arbitrary crystal structures. By starting from the tight- binding model with the distance-dependent transfer…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikito Koshino

Recoupling matrix elements are evaluated, in the harmonic oscillator approximation, for all possible angular and radial excitations in processes where quarks recombine. A diagrammatic representation is given. Their use is demonstrated in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eef van Beveren

In some fields such as Mathematics Mechanization, automated reasoning and Trustworthy Computing etc., exact results are needed. Symbolic computations are used to obtain the exact results. Symbolic computations are of high complexity. In…

Symbolic Computation · Computer Science 2008-09-10 Yong Feng , Jingzhong Zhang , Xiaolin Qin , Xun Yuan

While investigating quantum correlations in atomic systems, we note that single measurements contain information about these correlations. Using a simple model of measurement -- analogous to the one used in quantum optics -- we show how to…

Soft Condensed Matter · Physics 2009-11-10 Radka Bach , Kazimierz Rzazewski

The new interpolation model of state of binary mixture is investigated. This model use only two parameters and produce many type of phase diagrams.

Chemical Physics · Physics 2007-05-23 S. A. Kukushkin , A. V. Osipov

In non-ideal plasmas, the dielectric function has to be treated beyond the random phase approximation. Correlations and well as collisions have to be included. These corrections are known as (dynamical) local field corrections. With the…

Plasma Physics · Physics 2008-12-22 August Wierling

We present a method which, starting directly from QCD, permits a systematic gauge-invariant expansion to be made for all hard processes involving quarkonia in powers of the quark relative velocity, a small natural parameter for heavy quark…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hafsa Khan , Pervez Hoodbhoy

Video frame interpolation, the synthesis of novel views in time, is an increasingly popular research direction with many new papers further advancing the state of the art. But as each new method comes with a host of variables that affect…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Simon Niklaus , Long Mai , Oliver Wang

We propose AAA rational approximation as a method for interpolating or approximating smooth functions from equispaced data samples. Although it is always better to approximate from large numbers of samples if they are available, whether…

Numerical Analysis · Mathematics 2022-07-26 Daan Huybrechs , Lloyd N. Trefethen

The paper deals with a special filtered approximation method, which originates interpolation polynomials at Chebyshev zeros by using de la Vall\'ee Poussin filters. These polynomials can be an useful device for many theoretical and…

Numerical Analysis · Mathematics 2020-08-04 Donatella Occorsio , Woula Themistoclakis

In this paper a local approximation method on the sphere is presented. As interpolation scheme we consider a partition of unity method, such as the modified spherical Shepard's method, which uses zonal basis functions (ZBFs) plus spherical…

Numerical Analysis · Mathematics 2014-04-08 Alessandra De Rossi

Polarization measurements are the best instrument to understand how quark and antiquark combine into the different quarkonium states, but no model has so far succeeded in explaining the measured J/psi and Upsilon polarizations. On the other…

High Energy Physics - Phenomenology · Physics 2015-03-20 Pietro Faccioli

We construct a nonrelativistic effective field theory description of heavy quarkonium hybrids from QCD. We identify the symmetries of the system made of a heavy quark, a heavy antiquark, and glue in the static limit. Corrections to this…

High Energy Physics - Phenomenology · Physics 2015-12-23 Matthias Berwein , Nora Brambilla , Jaume Tarrus Castella , Antonio Vairo

A numerical scheme is described for accurately accommodating oblique, non-aligned, boundaries, on a three-dimensional cartesian grid. The scheme gives second-order accuracy in the solution for potential of Poisson's equation using compact…

Computational Physics · Physics 2011-05-09 Ian H Hutchinson