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We introduce a new family of Generalised Parton Distribution models able to fulfil by construction all the theoretical properties imposed by QCD. These models are built on standard Parton Distribution Functions and extended to off-forward…

The task of re-identifying groups of people underdifferent camera views is an important yet less-studied problem.Group re-identification (Re-ID) is a very challenging task sinceit is not only adversely affected by common issues in…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Weiyao Lin , Yuxi Li , Hao Xiao , John See , Junni Zou , Hongkai Xiong , Jingdong Wang , Tao Mei

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

In this paper we investigate the possibility whether, in the extreme limit of high energies and large transverse distances, reggeon field theory might serve as an effective theory of high energy scattering for strong interactions. We…

High Energy Physics - Theory · Physics 2016-05-04 Jochen Bartels , Carlos Contreras , Gian Paolo Vacca

In this paper, we investigate the relations between the Radon and weighted divergent beam and cone transforms. Novel inversion formulas are derived for the latter two. The weighted cone transform arises, for instance, in image…

Numerical Analysis · Mathematics 2016-12-23 Peter Kuchment , Fatma Terzioglu

We calculate the next-to-leading order QCD corrections to the spin-dependent cross section for single-inclusive hadron production in hadronic collisions. This process will be soon studied experimentally at RHIC, providing a tool to unveil…

High Energy Physics - Phenomenology · Physics 2009-11-07 Daniel de Florian

Applying the techniques of an earlier paper with Frenkel, we develop a geometric realization of spin representations and Clifford algebras. In doing so, we give an explicit parametrization of the irreducible components of Nakajima varieties…

Algebraic Geometry · Mathematics 2012-02-28 Alistair Savage

We give a proof of a recent combinatorial conjecture due to the first author, which was discovered in the framework of commutative algebra. This result gives rise to new companions to the famous Andrews-Gordon identities. Our tools involve…

Combinatorics · Mathematics 2023-02-24 Pooneh Afsharijoo , Jehanne Dousse , Frédéric Jouhet , Hussein Mourtada

I examines the applicability and possible need for a re-formulation of pQCD, as we know it, in the DIS limit of small $Q^2$ and $x$. Gluon saturation, implied by s-channel unitarity, and its possible experimental signatures are critically…

High Energy Physics - Phenomenology · Physics 2017-08-23 Uri Maor

We show that the transition vertex: two reggeized gluons $\to$ four reggeized gluons is invariant under M\"{o}bius transformations. This provides an important step in defining a conformally invariant effective field theory for QCD in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Bartels , L. N. Lipatov , M. Wüsthoff

We systematically compute the effective short-range potentials arising from second order QCD-diagrams related to bound states of quarks, antiquarks, and gluons. Our formalism relies on the assumption that the exchanged gluons are massless,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vincent Mathieu , Fabien Buisseret

QCD calculations for collider physics make use of perturbative solutions of renormalisation group equations (RGEs). Ambiguities related to these solutions can contribute significantly to systematic uncertainties of theoretical predictions…

High Energy Physics - Phenomenology · Physics 2025-05-30 Valerio Bertone , Giuseppe Bozzi , Francesco Hautmann

A new method is developed for solving the conformally invariant integrals that arise in conformal field theories with a boundary. The presence of a boundary makes previous techniques for theories without a boundary less suitable. The method…

High Energy Physics - Theory · Physics 2009-10-28 David M. McAvity

The action of ring automorphisms of the polynomial ring in two variables over the real numbers on real plane curves is considered. The orbits containing degree-three polynomials are computed, with one representative per orbit being…

Algebraic Geometry · Mathematics 2020-02-28 Mark Bly

We give a characterization of the effect of sequences of pivot operations on a graph by relating it to determinants of adjacency matrices. This allows us to deduce that two sequences of pivot operations are equivalent iff they contain the…

Combinatorics · Mathematics 2012-11-21 Robert Brijder , Tero Harju , Hendrik Jan Hoogeboom

We survey some recent developments and applications of the study of the rigidity properties of natural algebraic actions of multidimensional abelian groups.

Dynamical Systems · Mathematics 2007-05-23 Elon Lindenstrauss

We study the Regge regime of QCD as a special regime of lattice gauge theory on an asymmetric lattice. This lattice has a spacing $a_0 $ in the longitudinal direction and a spacing $a_t $ in the transversal direction. The limit…

High Energy Physics - Theory · Physics 2011-07-19 I. Ya. Aref'eva

We derive the complete set of supersymmetric Ward identities involving only two- and three- point proper vertices in supersymmetric QED. We also present the most general form of the proper vertices consistent with both the supersymmetric…

High Energy Physics - Theory · Physics 2009-10-31 M. L. Walker , C. J. Burden

I briefly review the Regge approach to the hadron spectrum and advocate a dynamical emergence of principal quantum number in the known spectrum of light non-strange mesons. Further it is shown how the linear radial trajectories with…

High Energy Physics - Phenomenology · Physics 2020-09-14 S. S. Afonin

We study the trigonometry of non-Euclidean tetrahedra using tools from algebraic geometry. We establish a bijection between non-Euclidean tetrahedra and certain rational elliptic surfaces. We interpret the edge lengths and the dihedral…

Algebraic Geometry · Mathematics 2021-06-08 Daniil Rudenko
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