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The status of the twist--2 and the twist--3 integral relations between polarized structure functions in deep inelastic scattering for electromagnetic and electroweak interactions is reviewed. One novel integral relation for the twist--3…

High Energy Physics - Phenomenology · Physics 2011-04-15 J. Blümlein

The MHV scattering amplitudes in planar N=4 SYM are dual to bosonic light-like Wilson loops. We explore various proposals for extending this duality to generic non-MHV amplitudes. The corresponding dual object should have the same…

High Energy Physics - Theory · Physics 2015-05-27 A. V. Belitsky , G. P. Korchemsky , E. Sokatchev

We analyze correlation functions of Wilson loop observables and local vertex operators within the strong-coupling regime of the AdS/CFT correspondence. When the local operator corresponds to a light string state with finite conserved…

High Energy Physics - Theory · Physics 2015-06-04 Rafael Hernandez

We study the dynamics of Wilson lines near the light cone in QCD. Lattice simulations of the near light cone Hamiltonian in SU(2) show that the correlation mass at strong coupling vanishes at intermediate coupling, which signals a continuum…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. -J. Pirner

After a brief review, in the first part, of some relevant analyticity and crossing-symmetry properties of the correlation functions of two Wilson loops in QCD, when going from Euclidean to Minkowskian theory, in the second part we shall see…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Meggiolaro

We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential…

High Energy Physics - Theory · Physics 2023-07-12 Federico Gasparotto , Stefan Weinzierl , Xiaofeng Xu

The wavefunction in quantum field theory is an invaluable tool for tackling a variety of problems, including probing the interior of Minkowski spacetime and modelling boundary observables in de Sitter spacetime. Here we study the analytic…

High Energy Physics - Theory · Physics 2022-12-19 Santiago Agui Salcedo , Mang Hei Gordon Lee , Scott Melville , Enrico Pajer

We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which…

High Energy Physics - Theory · Physics 2007-05-23 George Siopsis

I discuss the state-of-the-art knowledge of long-distance singularities in multi-leg gauge-theory scattering amplitudes and report on an on-going calculation of the three-loop soft anomalous dimension through the renormalization of…

High Energy Physics - Phenomenology · Physics 2014-07-22 Einan Gardi

We work out the map between null polygonal hexagonal Wilson loops and spinning three point functions in large $N$ conformal gauge theories by mapping the variables describing the two different physical quantities and by working out the…

High Energy Physics - Theory · Physics 2022-08-10 Carlos Bercini , Vasco Gonçalves , Alexandre Homrich , Pedro Vieira

We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in ${\cal N}=4$ SYM to large $N$ QCD by deriving a general relation between QCD meson scattering amplitudes and Wilson loops. We then investigate…

High Energy Physics - Theory · Physics 2013-05-29 Yuri Makeenko , Poul Olesen

In this note, we study two-point correlation functions of modular Hamiltonians. We show that in general quantum systems, these correlators obey properties similar to those of von Neumann entropy and capacity of entanglement, both of which…

High Energy Physics - Theory · Physics 2025-06-13 Mathew W. Bub , Allic Sivaramakrishnan

In a complex scattering system with few open channels, say a quantum dot with leads, the correlation properties of the poles of the scattering matrix are most directly related to the internal dynamics of the system. We may ask how to…

Condensed Matter · Physics 2008-12-18 T. Gorin , T. H. Seligman

We study Wilson loops in N=4 SYM theory which are non-constant in the scalar (S5) directions and open string solutions associated with them in the context of AdS/CFT correspondence. An interplay between Minkowskian and Euclidean pictures…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin , K. Zarembo

It is well-known that the expectation values of null polygonal Wilson loops computed in planar \(\mathcal{N}=4\) super Yang-Mills theory are dual to MHV amplitudes in that theory, and moreover that the duality can be extended to higher…

High Energy Physics - Theory · Physics 2025-12-16 James Drummond , Ömer Gürdoğan , Matthew Rochford , Rowan Wright

We evaluate a number of new instanton-induced phenomena in QCD, starting with static dipole-dipole potentials, and proceeding to quark-quark and dipole-dipole scattering at high energy. We use a non-perturbative formulation of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Edward Shuryak , Ismail Zahed

In the setting of lattice gauge theories with finite (possibly non-Abelian) gauge groups at weak coupling, we prove exponential decay of correlations for a wide class of gauge invariant functions, which in particular includes arbitrary…

Probability · Mathematics 2024-03-19 Arka Adhikari , Sky Cao

We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike…

High Energy Physics - Theory · Physics 2018-05-08 Harald Dorn

Technical aspects of the Shirkov-Solovtsov's analytic perturbation theory (APT) are considered. We construct explicitly two sets of specific functions, ${\mathfrak{A}_n(s)}$ and ${{\cal A}_n(Q^2)}$ that determine the nonpower as ymptotic…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. S. Kourashev , B. A. Magradze

We consider the ratio of the correlation function of an hexagon light-like Wilson loop with one local operator over the expectation value of the Wilson loop within the strong-coupling regime of the AdS/CFT correspondence. We choose the…

High Energy Physics - Theory · Physics 2013-09-30 Rafael Hernandez , Juan Miguel Nieto