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The effective action for the multi-Regge asymptotics is considered as a first step in calculating the unitarity correction to the perturbative pomeron. It can be derived from the original QCD action by intgrating out certain modes of the…

High Energy Physics - Theory · Physics 2007-05-23 R. Kirschner

The correspondence between the gluon density behavior of the color dipole picture and the two-Pomeron approach at low $x$ deep inelastic scattering is considered. For photon virtualities of $Q^{2}{\gtrsim}10~\mathrm{GeV}^{2}$, the results…

High Energy Physics - Phenomenology · Physics 2023-03-16 G. R. Boroun

A new method of composition orthogonality is introduced. It is applied to generate new sequences of orthogonal polynomials and functions. In particular, classical orthogonal polynomials are interpreted in the sense of composition…

Classical Analysis and ODEs · Mathematics 2021-03-05 Semyon Yakubovich

Using Drell-Yan pair production as an example, we explore the relation between two well-known mechanisms for single transverse-spin asymmetries in hard processes: twist-three quark-gluon correlations when the pair's transverse momentum is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiangdong Ji , Jian-Wei Qiu , Werner Vogelsang , Feng Yuan

This paper applies He's new amplitude-frequency relationship recently established by Ji-Huan He (Int J Appl Comput Math 3 1557-1560, 2017) to study periodic solutions of strongly nonlinear systems with odd nonlinearities. Some examples are…

Pattern Formation and Solitons · Physics 2017-09-06 O. González-Gaxiola

We calculate the probability (``quenching weight'') that a hard parton radiates an additional energy fraction due to scattering in spatially extended QCD matter. This study is based on an exact treatment of finite in-medium path length, it…

High Energy Physics - Phenomenology · Physics 2009-11-10 Carlos A. Salgado , Urs Achim Wiedemann

Anisotropic systems of quarks and gluons, which at least for sufficiently short space-time intervals can be treated as homogeneous and static, are considered. The gluon polarization tensor of such a system is explicitly computed within the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stanislaw Mrowczynski , Markus H. Thoma

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

The continued-fraction method was developed systematically by Risken and co-workers to solve problems of arbitrary fluctuations in nonlinear systems. However, this efficient technique is limited to problems with a few variables, which in…

Statistical Mechanics · Physics 2007-05-23 J. L. Garcia-Palacios

In this paper we extend our recent non perturbative functional renormalization group analysis of Reggeon Field Theory to the interactions of Pomeron and Odderon fields. We establish the existence of a fixed point and its universal…

High Energy Physics - Theory · Physics 2017-01-18 J. Bartels , C. Contreras , G. P. Vacca

Multidimensional coherent spectroscopy is a powerful tool to characterize nonlinear optical response functions. Typically, multidimensional spectra are interpreted via a perturbative framework that straightforwardly provides intuition into…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Albert Liu

A traditional Regge model with a $Q^2$-independent Pomeron intercept closed (or equal) to one is constructed in order to describe the available data on the proton structure function. A Dipole Pomeron model which does not explicitly violate…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. Desgrolard , A. Lengyel , E. Martynov

We construct infinitely many real-valued, time-periodic breather solutions of power-type nonlinear wave equations. These solutions are obtained from critical points of a dual functional and they are weakly localized in space. Our abstract…

Analysis of PDEs · Mathematics 2021-08-11 Rainer Mandel , Dominic Scheider

To calculate the intercept of the multigluon system in a symmetric spatial configuration a variational method is developed based on a complete system of one-gluon functions. The method is applied to two- and three- gluon cases to compare…

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

The odderon intercept is calculated directly, from its expression via an average energy of the odderon Hamiltonian, using both trial wave functions in the variational approach and the wave function recently constructed by R.A.Janik and…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. A. Braun , P. Gauron , B. Nicolescu

The high-energy behaviour of two-scale hard processes is investigated in the framework of small-x models with running coupling, having the Airy diffusion model as prototype. We show that, in some intermediate high-energy regime, the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Marcello Ciafaloni , Martina Taiuti , A. H. Mueller

Finite elasticity problems commonly include material and geometric nonlinearities and are solved using various numerical methods. However, for highly nonlinear problems, achieving convergence is relatively difficult and requires small load…

Numerical Analysis · Mathematics 2018-05-01 Yue Mei , Daniel E. Hurtado , Sanjay Pant , Ankush Aggarwal

We derive a nonperturbative expression for the non-vacuum, qqbar-Reggeon-exchange contribution to the meson-meson elastic scattering amplitude at high energy and low momentum transfer, in the framework of QCD. Describing the mesons in terms…

High Energy Physics - Phenomenology · Physics 2015-06-04 Matteo Giordano

The set of non-linear equations describing the Standard Model kinematics of the top quark antiqark production system in the dilepton decay channel has at most a four-fold ambiguity due to two not fully reconstructed neutrinos. Its most…

High Energy Physics - Phenomenology · Physics 2011-06-21 Lars Sonnenschein

We describe a simple quantum mechanical method that can be used to obtain accurate numerical results over long time scales for the spin correlation tensor of an electron spin that is hyperfine coupled to a large number of nuclear spins.…

Quantum Physics · Physics 2018-08-13 Lachlan P. Lindoy , David E. Manolopoulos