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Arguments are presented for the odderon intercept being exactly equal to unity. A variational method is presented based on a complete system of one-gluon functions. For the odderon, the highest intercept calculated by this method is…

High Energy Physics - Phenomenology · Physics 2008-02-03 N. Armesto , M. A. Braun

This paper interprets the stabilized finite element method via residual minimization as a variational multiscale method. We approximate the solution to the partial differential equations using two discrete spaces that we build on a…

Computational Engineering, Finance, and Science · Computer Science 2023-05-23 Juan F. Giraldo , Victor M. Calo

A new method is applied to solve the Baxter equation for three coupled, noncompact spins. Due to the equivalence with the system of three reggeized gluons, the intercept of the odderon trajectory is predicted for the first time, as the…

High Energy Physics - Theory · Physics 2016-08-25 J. Wosiek , R. E. Janik

The numerical solution of an ordinary differential equation can be interpreted as the exact solution of a nearby modified equation. Investigating the behaviour of numerical solutions by analysing the modified equation is known as backward…

Numerical Analysis · Mathematics 2022-12-12 Robert I McLachlan , Christian Offen

Change detection in heterogeneous multitemporal satellite images is a challenging and still not much studied topic in remote sensing and earth observation. This paper focuses on comparison of image pairs covering the same geographical area…

Computer Vision and Pattern Recognition · Computer Science 2017-02-13 Luigi Tommaso Luppino , Stian Normann Anfinsen , Gabriele Moser , Robert Jenssen , Filippo Maria Bianchi , Sebastiano Serpico , Gregoire Mercier

An efficient numerical algorithm to evaluate one-loop amplitudes using tensor integrals is presented. In particular, it is shown by explicit calculations that for ordered QCD amplitudes with a number of external legs up to 10, its…

High Energy Physics - Phenomenology · Physics 2009-08-11 A. van Hameren

The variational method employing the amplitude and width as collective coordinates of the Klein-Gordon oscillon leads to a dynamical system with unstable periodic orbits that blow up when perturbed. We propose a multiscale variational…

High Energy Physics - Theory · Physics 2023-11-01 I. V. Barashenkov , N. V. Alexeeva

Interpolation by various types of splines is the standard procedure in many applications. In this paper we shall discuss harmonic spline "interpolation" (on the lines of a grid) as an alternative to polynomial spline interpolation (at…

Numerical Analysis · Mathematics 2011-01-17 Yuliya Babenko , Tatyana Leskevich

Progressive acquisition of slowly-scanned images is desirable for drift correction and real-time visualization. Interlacing methods are common approaches to storing and transmitting data on rectilinear grids, and here we propose using them…

Other Condensed Matter · Physics 2022-12-08 Jacob D. Hinkle , Debangshu Mukherjee

In previous work, we introduced a method for modeling a configuration of objects in 2D and 3D images using a mathematical "medial/skeletal linking structure." In this paper, we show how these structures allow us to capture positional…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 James Damon , Ellen Gasparovic

In this work, we consider multigoal-oriented error estimation for stationary fluid-structure interaction. The problem is formulated within a variational-monolithic setting using arbitrary Lagrangian-Eulerian coordinates. Employing the…

Numerical Analysis · Mathematics 2021-08-13 K. Ahuja , B. Endtmayer , M. C. Steinbach , T. Wick

We present a semi-numerical method to compute one-loop corrections to multi-leg processes. We apply the method to the study of Higgs plus four parton and six gluon amplitudes.

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Zanderighi

For the calculation of the partition function $\mathcal{Z}$ of small, isolated and interacting many body systems an improvement with respect to previous formulations is presented. By including anharmonicities and employing a variational…

Nuclear Theory · Physics 2009-11-10 Christian Rummel , Helmut Hofmann

The problem of multimodal clustering arises whenever the data are gathered with several physically different sensors. Observations from different modalities are not necessarily aligned in the sense there there is no obvious way to associate…

Machine Learning · Statistics 2020-12-10 Vasil Khalidov , Florence Forbes , Radu Horaud

The computation of observables in high energy QCD involves an average over stochastic semiclassical small-x gluon fields. The weight of various configurations is determined by the effective action. We introduce a method to study…

High Energy Physics - Phenomenology · Physics 2017-10-12 Adrian Dumitru , Vladimir Skokov

A comprehensive symmetry analysis of the N=1 supersymmetric sine-Gordon equation is performed. Two different forms of the supersymmetric system are considered. We begin by studying a system of partial differential equations corresponding to…

Mathematical Physics · Physics 2009-09-15 A. M. Grundland , A. J. Hariton , L. Snobl

For one-dimensional systems with delta-contact interactions, the convergence of the exact-diagonalization method is tested with a basis of harmonic oscillator eigenfunctions with frequency $\Omega$ optimized through the minimization of the…

Quantum Gases · Physics 2020-01-09 Przemysław Kościk

The paper is devoted to well-posedness analysis and the numerical solution of a family of general elliptic mixed variational-hemivariational inequalities. Various mixed variational equations, mixed variational inequalities and mixed…

Numerical Analysis · Mathematics 2026-02-03 Weimin Han , Jianguo Huang , Yuan Yao

The translational invariant formulation of the coupled-cluster method is presented here at the complete SUB(2) level for a system of nucleons treated as bosons. The correlation amplitudes are solution of a non-linear coupled system of…

Nuclear Theory · Physics 2009-10-30 R. Guardiola , I. Moliner , J. Navarro , M. Portesi

The odderon intercept $ \alpha $ is recalculated by the variational method based on conformal invariance. The final result is $\alpha=1-0.339 \alpha_s N/\pi$ in contrast to the published value above unity.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. Braun
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