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Related papers: From Polygon Wilson Loops to Spin Chains and Back

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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 derive an expression for the vacuum expectation value (vev) of the 1/2 BPS circular Wilson loop of ${\cal N}=4$ super Yang Mills in terms of color invariants, valid for any representation R of any gauge group G. This expression allows us…

High Energy Physics - Theory · Physics 2019-06-26 Bartomeu Fiol , Jairo Martínez-Montoya , Alan Rios Fukelman

We calculate convergent 3-loop Feynman diagrams containing a single massive loop equipped with twist $\tau =2$ local operator insertions corresponding to spin $N$. They contribute to the massive operator matrix elements in QCD describing…

High Energy Physics - Phenomenology · Physics 2015-06-19 Jakob Ablinger , Johannes Blümlein , Clemens Raab , Carsten Schneider , Fabian Wißbrock

Perturbative computations of the expectation value of the Wilson loop in N=4 supersymmetric Yang-Mills theory are reported. For the two special cases of a circular loop and a pair of anti-parallel lines, it is shown that the sum of an…

High Energy Physics - Theory · Physics 2009-10-31 J. K. Erickson , G. W. Semenoff , K. Zarembo

We propose a method for analyzing two-dimensional symmetry protected topological (SPT) wavefunctions using a correspondence with conformal field theories (CFTs) and integrable lattice models. This method generalizes the CFT approach for the…

Strongly Correlated Electrons · Physics 2016-03-09 Thomas Scaffidi , Zohar Ringel

In this letter we discuss the analyticity properties of the Wilson-loop correlation functions relevant to the problem of soft high-energy scattering, directly at the level of the functional integral, in a genuinely nonperturbative way. The…

High Energy Physics - Phenomenology · Physics 2014-11-18 M. Giordano , E. Meggiolaro

The spatial 't Hooft loop measuring the electric flux and the spatial Wilsonloop measuring the magnetic flux are analyzed in hot SU(N) gauge theory. Both display area laws. On one hand the tension of the 't Hooft loop is perturbatively…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. Giovannangeli , C. P. Korthals Altes

We study at quantum level correlators of supersymmetric Wilson loops with contours lying on Hopf fibers of $S^3$. In $\mathcal{N}=4$ SYM theory the strong coupling analysis can be performed using the AdS/CFT correspondence and a connected…

High Energy Physics - Theory · Physics 2015-03-20 Luca Griguolo , Stefano Mori , Fabrizio Nieri , Domenico Seminara

We show that appropriately supersymmetrized smooth Maldacena-Wilson loop operators in N=4 super Yang-Mills theory are invariant under a Yangian symmetry Y[psu(2,2|4)] built upon the manifest superconformal symmetry algebra of the theory.…

High Energy Physics - Theory · Physics 2015-06-17 Dennis Muller , Hagen Munkler , Jan Plefka , Jonas Pollok , Konstantin Zarembo

We consider supersymmetric Wilson loops of the variety constructed by Drukker, Giombi, Ricci, and Trancanelli, whose spatial contours lie on a two-sphere. Working to second order in the 't Hooft coupling in planar N=4 Supersymmetric…

High Energy Physics - Theory · Physics 2015-03-13 Donovan Young

The Wilson loop with a wavy line contour is studied using integrable methods. The auxiliary problem is solved and the Lax operator is built to first order in perturbation theory, considering a small perturbation from the straight line.…

High Energy Physics - Theory · Physics 2013-12-30 A. Cagnazzo

In this paper we study Open Wilson Lines (OWL's) in the context of two Supersymmetric Yang Mills theories. First we consider four dimensional N=2 Supersymmetric Yang Mills Theory with hypermultiplets transforming in the fundamental…

High Energy Physics - Theory · Physics 2011-04-05 Edward B. Baker

The paper considers quantum electrodynamics (QED) and weak interaction of elementary particles in the lower orders of the perturbation theory using nonlocal Hamiltonian in the Foldy-Wouthuysen (FW) representation. Feynman rules in the FW…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Neznamov

A recent, integrability-based conjecture in the framework of the Wilson loop OPE for N=4 SYM theory, predicts the leading OPE contribution for the hexagon MHV remainder function and NMHV ratio function to all loops, in integral form. We…

High Energy Physics - Theory · Physics 2014-02-18 Georgios Papathanasiou

In the planar N=4 supersymmetric Yang-Mills theory, the conformal symmetry constrains multi-loop n-edged Wilson loops to be given in terms of the one-loop n-edged Wilson loop, augmented, for n greater than 6, by a function of conformally…

High Energy Physics - Theory · Physics 2014-11-20 Vittorio Del Duca , Claude Duhr , Vladimir A. Smirnov

We give a prescription for minimally coupling massive matter to JT gravity with either sign of cosmological constant directly in its formulation as a topological BF theory. This coupling takes the form of a `Wilson spool,' originally…

High Energy Physics - Theory · Physics 2025-09-03 Jackson R. Fliss

Using topological band theory analysis we show that the nonsymmorphic symmetry operations in hexagonal lattices enforce Weyl points at the screw-invariant high-symmetry lines of the band structure. The corepresentation theory and…

Materials Science · Physics 2021-01-15 Rafael González-Hernández , Erick Tuiran , Bernardo Uribe

A half-BPS circular Wilson loop in $\mathcal{N}=4$ $SU(N)$ supersymmetric Yang-Mills theory in an arbitrary representation is described by a Gaussian matrix model with a particular insertion. The additional entanglement entropy of a…

High Energy Physics - Theory · Physics 2014-09-24 Simon A. Gentle , Michael Gutperle

In the recent paper arXiv:1010.5009, Maldacena et al. derive the two loop expressions for polygonal Wilson loops expectation values, or MHV amplitudes, by writing them as sums over exchanges of intermediate free particles. The spectrum of…

High Energy Physics - Theory · Physics 2015-03-17 Matteo Beccaria , Fedor Levkovich-Maslyuk , Guido Macorini

We perform a detailed study of the Yangian symmetry of smooth supersymmetric Maldacena-Wilson loops in planar N=4 super Yang-Mills theory. This hidden symmetry extends the global superconformal symmetry present for these observables. A…

High Energy Physics - Theory · Physics 2016-01-05 Niklas Beisert , Dennis Muller , Jan Plefka , Cristian Vergu