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We present an in-depth analysis of transverse momentum dependent (TMD) distributions of twist-three. In particular, we focus on evolution equations, symmetry relations, parameterization, interpretation, small-b asymptotic behaviour and the…

High Energy Physics - Phenomenology · Physics 2025-01-15 Simone Rodini , Alexey Vladimirov

Some exact expressions for non-selfintersecting Wilson loops in Yang Mills theory on the infinite plane are reviewed.

High Energy Physics - Lattice · Physics 2010-11-05 Robert Lohmayer , Herbert Neuberger , Tilo Wettig

We review Wilson loops in N=4 supersymmetric Yang-Mills theory with emphasis on the exact results. The implications are discussed in the context of the AdS/CFT correspondence.

High Energy Physics - Theory · Physics 2009-11-07 Gordon W. Semenoff , K. Zarembo

Geometric evolution represents a fundamental aspect of many physical phenomena. In this paper we consider the geometric evolution of structures that undergo topological changes. Topological changes occur when the shape of an object evolves…

Soft Condensed Matter · Physics 2019-06-11 James E. McClure , Steffen Berg , Ryan T. Armstrong

These notes provide an introduction toward Wilson loops in N=4 supersymmetric Yang-Mills theory with a focus toward their integrability properties. In addition to a brief discussion of exact results for the circular Wilson loop and the cusp…

High Energy Physics - Theory · Physics 2020-08-26 Hagen Münkler

We explore a combined effect of hexagonal warping and of finite effective mass on both the tunneling density of electronic states (TDOS) and structure of Landau levels (LLs) of 3D topological insulators. We find the increasing warping to…

Mesoscale and Nanoscale Physics · Physics 2014-09-01 E. V. Repin , V. S. Stolyarov , T. Cren , C. Brun , S. I. Bozhko , L. V. Yashina , D. Roditchev , I. S. Burmistrov

This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short…

The main properties of the leading-twist transverse momentum dependent parton distributions in a light-cone constituent quark model of the nucleon are reviewed, with focus on the role of the spin-spin and spin-orbit correlations of quarks.…

High Energy Physics - Phenomenology · Physics 2009-08-24 B. Pasquini , S. Boffi , A. V. Efremov , P. Schweitzer

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 introduce a new topological effect involving interference of two meson loops, manifesting a path-independent topological area dependence. The effect also draws a connection between quark confinement, Wilson-loops and topological…

Quantum Physics · Physics 2013-04-25 Erez Zohar , Benni Reznik

The dynamics of Wilson lines integrated along a warped extra dimension has been unknown. We study a five dimensional SU(N) pure gauge theory with Randall-Sundrum warped compactification on S^1/Z_2. We clarify the notion of large gauge…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kin-ya Oda , Andreas Weiler

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

The transverse broadening of an energetic jet passing through a non-Abelian plasma is believed to be described by the thermal expectation value of a light-cone Wilson loop. In this exploratory study, we measure the light-cone Wilson loop…

High Energy Physics - Phenomenology · Physics 2013-07-12 M. Laine , A. Rothkopf

Wilson loops with lightlike polygonal contours have been conjectured to be equivalent to MHV scattering amplitudes in N=4 super Yang-Mills. We compute such Wilson loops for special polygonal contours at two loops in perturbation theory.…

High Energy Physics - Theory · Physics 2010-06-29 Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Gabriele Travaglini

Twisted marine cables on the sea floor can form highly contorted three-dimensional loops that resemble tangles. Such tangles or hockles are topologically equivalent to the plectomenes that form in supercoiled DNA molecules. The dynamic…

Mathematical Physics · Physics 2015-06-26 Sachin Goyal , N. C. Perkins , Christopher L. Lee

We study the leading-power gluon transverse momentum dependent distributions (TMDs) of relevance to the study of asymmetries in the scattering off transversely polarized hadrons. Next-to-leading-order perturbative calculations of these TMDs…

High Energy Physics - Phenomenology · Physics 2016-03-30 Daniël Boer , Miguel G. Echevarria , Piet Mulders , Jian Zhou

This work is about pure Yang-Mills theory in four Euclidean dimensions with gauge group SU(N). We study rectangular smeared Wilson loops on the lattice at large N and relatively close to the large-N transition point in their eigenvalue…

High Energy Physics - Lattice · Physics 2015-06-05 Robert Lohmayer , Herbert Neuberger

A duality relation has been proposed between the planar gluon MHV amplitudes and light-like Wilson loops in N=4 super Yang-Mills. At six-point two-loop, the results for the planar gluon MHV amplitude and for the light-like Wilson loop…

High Energy Physics - Theory · Physics 2011-02-28 Jian-Hui Zhang

In this contribution TMD evolution of azimuthal asymmetries, in particular of the Sivers and double Collins asymmetries, is addressed. A comparison of the scale dependence is made between asymmetries described with TMD factorization at low…

High Energy Physics - Phenomenology · Physics 2015-06-16 Daniel Boer

By considering semi-inclusive deep-inelastic scattering and the (complementary) $q_T$-spectrum for Drell-Yan lepton pair production we derive the QCD evolution for all the leading-twist transverse momentum dependent distribution and…

High Energy Physics - Phenomenology · Physics 2014-07-10 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi