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Related papers: Evolution of Light-Like Wilson Loops with a Self-I…

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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

We study the linear cosmological evolution of inelastic self-interacting dark matter in a two-component dark sector with a small mass splitting, assuming thermal initial conditions for the two species. We derive the coupled background and…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-28 Xin-Chen Duan , Yue-Lin Sming Tsai , Ziwei Wang

The average of two Wilson loops is expressed in terms of gauge invariant field strength correlators. Assuming the existence of finite correlation length $T_g$ and taking into account the absence of a fixed direction in colour space, we…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Yu. Dubin , Yu. S. Kalashnikova

Given a nonlinear evolution equation in (1+n) dimensions, which has spatially extended traveling wave solutions, it can be extended into a system of two coupled equations, one of which generates the original traveling waves, and the other…

Exactly Solvable and Integrable Systems · Physics 2017-12-07 Yair Zarmi

In this paper we construct a light-like polygonal Wilson loop in N=6 superspace for ABJM theory. We then use it to obtain constraints on its two- and three-loop bosonic version, by focusing on higher order terms in the $\theta$ expansion.…

High Energy Physics - Theory · Physics 2015-06-19 Matteo Rosso , Cristian Vergu

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 use the spherical collapse model of structure formation to investigate the separation in the collapse of uncoupled matter (essentially baryons) and coupled dark matter in an interacting dark energy scenario. Following the usual…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Morgan Le Delliou , Tiago Barreiro

We consider a light-like Wilson loop in N=4 SYM evaluated on a regular n-polygon contour. Sending the number of edges to infinity the polygon approximates a circle and the expectation value of the light-like WL is expected to tend to the…

High Energy Physics - Theory · Physics 2015-06-23 Marco S. Bianchi , Matias Leoni

We investigate a \Pi-shape Wilson loop in N=4 super Yang--Mills theory, which lies partially at the light-cone, and consider an associated open superstring in AdS_5 x S^5. We discuss how this Wilson loop determines the anomalous dimensions…

High Energy Physics - Theory · Physics 2009-11-07 Yuri Makeenko

We compute the one-loop anomalous dimension for the light cone distribution function of a heavy quark and solve the corresponding evolution equation analytically. Some implications of the results for inclusive $B$ decays are discussed.

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Balzereit , W. Kilian , T. Mannel

Working in the light-cone gauge, we find a simple procedure to calculate the autonomous one-loop Q^2 evolution of the twist-three part of the nucleon g_T(x, Q^2) structure function in the large-N_c limit. Our approach allows us to…

High Energy Physics - Phenomenology · Physics 2011-09-13 Xiangdong Ji , Jonathan Osborne

In finite-temperature field theory, the cyclic Wilson loop is defined as a rectangular Wilson loop spanning the whole compactified time direction. In a generic non-abelian gauge theory, we calculate the perturbative expansion of the cyclic…

High Energy Physics - Theory · Physics 2013-03-15 Matthias Berwein , Nora Brambilla , Jacopo Ghiglieri , Antonio Vairo

We study some structural aspects of the evolution equations with Pomeron loops recently derived in QCD at high energy and for a large number of colors, with the purpose of clarifying their probabilistic interpretation. We show that, in…

High Energy Physics - Phenomenology · Physics 2009-11-11 E. Iancu , G. Soyez , D. N. Triantafyllopoulos

We develop a theory of loops with involution. On this basis we define a Cayley-Dickson doubling on loops, and use it to investigate the lattice of varieties of loops with involution, focusing on properties that remain valid in the…

Combinatorics · Mathematics 2025-01-03 Adam Chapman , Ilan Levin , Uzi Vishne , Marco Zaninelli

Energy-growing electroweak corrections in the Standard Model are potentially relevant for LHC physics, for Next generation of Linear Colliders (NLCs) and for ultrahigh energy cosmic rays. I present here the results of recent work in which…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paolo Ciafaloni

We study the propagation of a compactly supported high-frequency wave through a semi-linear wave equation with a null structure. We prove that the self-interaction of the wave creates harmonics which remain close to the light-cone in the…

Analysis of PDEs · Mathematics 2022-06-08 Arthur Touati

Studies of galaxy evolution at optical and near-infrared wavelengths have reached an interesting point in their historical development and the arrival of a new millenium provides an appropriate occasion to review the overall direction in…

Astrophysics · Physics 2009-11-06 Richard S Ellis

In recent work we began a study of the correlators of multiple light-like Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory, focussing primarily on tree-level calculations and, beyond tree-level, to the Abelian theory. Here we…

High Energy Physics - Theory · Physics 2026-02-02 James Drummond , Matthew Rochford , Rowan Wright

When two electromagnetic fields counterpropagate, they are modified due to mutual interaction via the polarised virtual electron-positron states of the vacuum. By studying how photon-photon scattering effects such as birefringence and…

High Energy Physics - Phenomenology · Physics 2015-09-15 B. King , P. Böhl , H. Ruhl

We study contact interactions for long world-lines on a curved surface, focusing on the average number of times two world-lines intersect as a function of their end-points. The result can be used to extend the concept of path-ordering, as…

High Energy Physics - Theory · Physics 2018-08-01 Chris Curry , Paul Mansfield