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We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin,…

高能物理 - 理论 · 物理学 2009-04-17 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

The effect of decoherence on the continuous-time quantum walk on the hypercube is revisited. Previously, an exact solution was found for a decoherence model that preserved the effective tensor-product form of the dynamics. Here a new model…

量子物理 · 物理学 2009-11-13 Frederick W. Strauch

We study a complex analogue of a Wilson Loop, defined over a complex curve, in non-Abelian holomorphic Chern-Simons theory. We obtain a version of the Makeenko-Migdal loop equation describing how the expectation value of these Wilson Loops…

高能物理 - 理论 · 物理学 2011-01-10 Mathew Bullimore , David Skinner

We discuss the origin of the Wilson polygon - MHV amplitude duality at the perturbative level. It is shown that the duality for the MHV amplitudes at one-loop level can be proven upon the peculiar change of variables in Feynman…

高能物理 - 理论 · 物理学 2010-12-17 A. Gorsky , A. Zhiboedov

The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang-Mills theory runs systematically in terms of multiparticle pentagon transitions which encode the physics of excitations propagating on the…

高能物理 - 理论 · 物理学 2018-03-14 A. V. Belitsky

Using the Operator Product Expansion for Wilson loops we derive a simple formula giving the discontinuities of the two loop result in terms of the one loop answer. We also argue that the knowledge of these discontinuities should be enough…

高能物理 - 理论 · 物理学 2015-05-27 Davide Gaiotto , Juan Maldacena , Amit Sever , Pedro Vieira

We develop a general theoretical framework for the description of higher-twist baryon operators which makes maximal use of the conformal symmetry of the QCD Lagrangian. The conformal operator basis is constructed for all twists. The…

高能物理 - 唯象学 · 物理学 2009-08-11 V. M. Braun , A. N. Manashov , J. Rohrwild

We derive a set of first-order differential equations obeyed by the S-matrix of planar maximally supersymmetric Yang-Mills theory. The equations, based on the Yangian symmetry of the theory, involve only finite and regulator-independent…

高能物理 - 理论 · 物理学 2017-08-23 Simon Caron-Huot , Song He

We consider the duality between the four-dimensional S-matrix of planar maximally supersymmetric Yang-Mills theory and the expectation value of polygonal shaped Wilson loops in the same theory. We extend the duality to amplitudes with…

高能物理 - 理论 · 物理学 2011-07-19 Simon Caron-Huot

We consider Wilson loops in planar N=4 SYM for null polygons in the limit of two crossing edges. The analysis is based on a renormalisation group technique. We show that the previously obtained result for the leading and next-leading…

高能物理 - 理论 · 物理学 2015-06-03 Harald Dorn , Sebastian Wuttke

We consider the hexagonal Wilson loop dual to the six-point MHV amplitude in planar N=4 super Yang-Mills theory. We apply constraints from the operator product expansion in the near-collinear limit to the symbol of the remainder function at…

高能物理 - 理论 · 物理学 2015-05-30 Lance J. Dixon , James M. Drummond , Johannes M. Henn

We compute the one-loop expectation value of light-like polygonal Wilson loops in N=4 super-Yang-Mills theory in full superspace. When projecting to chiral superspace we recover the known results for tree-level…

高能物理 - 理论 · 物理学 2012-06-18 Niklas Beisert , Song He , Burkhard U. W. Schwab , Cristian Vergu

The operator product expansion for ``small'' Wilson loops in {\cal N}=4, d=4 SYM is studied. The OPE coefficients are calculated in the large N and g_{YM}^2 N limit by exploiting the AdS/CFT correspondence. We also consider Wilson surfaces…

高能物理 - 理论 · 物理学 2016-08-25 David Berenstein , Richard Corrado , Willy Fischler , Juan Maldacena

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…

高能物理 - 理论 · 物理学 2022-08-10 Carlos Bercini , Vasco Gonçalves , Alexandre Homrich , Pedro Vieira

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…

高能物理 - 理论 · 物理学 2011-02-28 Jian-Hui Zhang

The Operator Product Expansion approach to scattering amplitudes in maximally supersymmetric gauge theory operates in terms of pentagon transitions for excitations propagating on a color flux tube. These obey a set of axioms which allow one…

高能物理 - 理论 · 物理学 2016-12-21 A. V. Belitsky

It is well known that high-energy scattering of a meson from some hadronic target can be described by the interaction of that target with a color dipole formed by two Wilson lines corresponding to fast quark-antiquark pair. Moreover, the…

高能物理 - 唯象学 · 物理学 2015-06-19 I. Balitsky , A. V. Grabovsky

We study supersymmetric Wilson loop operators in four-dimensional N=4 super Yang-Mills theory. We show that the contour of a supersymmetric Wilson loop is either an orbit of some conformal transformation of the space-time (case I), or an…

高能物理 - 理论 · 物理学 2010-05-12 Anatoly Dymarsky , Vasily Pestun

Expectation value of lightlike polygon Wilson loop is computed in the three-dimensional ABJM theory up to second-order in `t Hooft coupling in the limit of infinitely many colors and the result is critically compared with that in the…

高能物理 - 理论 · 物理学 2014-12-31 Jin-Beom Bae , Soo-Jong Rey

We study our Schwinger-Dyson equation as well as the large $N_{c}$ loop equation for supersymmetric Yang-Mills theory in four dimensions by the N=1 superspace Wilson-loop variable. We are successful in deriving a new manifestly…

高能物理 - 理论 · 物理学 2009-10-30 Hiroshi Itoyama , Hiroyuki Takashino