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We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear,…

高能物理 - 理论 · 物理学 2011-04-28 Luis F. Alday , Davide Gaiotto , Juan Maldacena , Amit Sever , Pedro Vieira

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

Maximal helicity-violating scattering amplitudes in N=4 supersymmetric Yang-Mills theory are dual to Wilson loops on closed null polygons. We perform their operator product expansion analysis in two-dimensional kinematics in the…

高能物理 - 理论 · 物理学 2015-05-30 A. V. Belitsky

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between…

We show, within the framework of the Euclidean $\phi^4$-quantum field theory in four dimensions, that the Wilson operator product expansion (OPE) is not only an asymptotic expansion at short distances as previously believed, but even…

高能物理 - 理论 · 物理学 2015-05-28 Stefan Hollands , Christoph Kopper

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…

高能物理 - 理论 · 物理学 2025-12-16 James Drummond , Ömer Gürdoğan , Matthew Rochford , Rowan Wright

We compute the simplest non-trivial Operator Product Expansion of Wilson-'t Hooft loop operators in N=4 and N=2 Super-Yang-Mills theory with gauge group G=PSU(3). This amounts to finding the Euler characters of certain vector bundles,…

高能物理 - 理论 · 物理学 2012-07-02 Ruxandra Moraru , Natalia Saulina

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.…

高能物理 - 理论 · 物理学 2010-06-29 Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Gabriele Travaglini

We investigate the Operator Product Expansion (OPE) on the lattice by directly measuring the product <Jmu Jnu> (where J is the vector current) and comparing it with the expectation values of bilinear operators. This will determine the…

The Pentagon Operator Product Expansion represents polygonal Wilson loops in planar $\mathcal{N}=4$ super Yang-Mills in terms of a series of flux tube excitations for finite coupling. We demonstrate how to re-sum this series at the one loop…

高能物理 - 理论 · 物理学 2016-09-27 Ho Tat Lam , Matt von Hippel

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…

高能物理 - 理论 · 物理学 2014-02-18 Georgios Papathanasiou

We find the basic ingredients required to compute the Operator Product Expansion of Wilson-'t Hooft operators in N=4 super-Yang-Mills theory with gauge group G=PSU(3). These include the geometry of certain moduli spaces of BPS…

高能物理 - 理论 · 物理学 2015-05-30 Natalia Saulina

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.…

高能物理 - 理论 · 物理学 2015-06-19 Matteo Rosso , Cristian Vergu

We present an algorithm for constructing the Wilson operator product expansion (OPE) for perturbative interacting quantum field theory in general Lorentzian curved spacetimes, to arbitrary orders in perturbation theory. The remainder in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Stefan Hollands

The operator product expansion (OPE) for heavy-light-quark pseudoscalar mesons (D-mesons and B-mesons) in medium is determined, both for a moving meson with respect to the surrounding medium as well as for a meson at rest. First of all, the…

高能物理 - 唯象学 · 物理学 2015-06-03 Sven Zschocke , Thomas Hilger , Burkhard Kampfer

In previous investigations, it was found that four-sided polygonal light-like Wilson loops in ABJM theory calculated to two-loop order have the same form as the corresponding Wilson loop in N = 4 SYM at one-loop order. Here we study…

高能物理 - 理论 · 物理学 2013-05-29 Konstantin Wiegandt

In the planar N = 4 supersymmetric Yang-Mills theory at weak coupling, we perform the first analytic computation of a two-loop eight-edged Wilson loop embedded into the boundary of AdS3. Its remainder function is given as a function of…

高能物理 - 理论 · 物理学 2014-11-21 Vittorio Del Duca , Claude Duhr , Vladimir A. Smirnov

We explore a direct connection between the collinear limit and the multi-Regge limit for scattering amplitudes in the N=4 super Yang-Mills theory. Starting with the collinear expansion for the six-gluon amplitude in the Euclidean kinematic…

高能物理 - 理论 · 物理学 2015-06-19 Yasuyuki Hatsuda

We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d $\mathcal{N}=2$ superconformal ${\rm SU}(N)$ YM theory with hypermultiplets in the symmetric and antisymmetric representations…

高能物理 - 理论 · 物理学 2023-10-06 Nikolay Bobev , Pieter-Jan De Smet , Xuao Zhang

We analyze the operator product expansion T_{\mu \nu}(z) W[C] in N=4 4-dimensional Super-Yang-Mills (SYM) theory with U(N) gauge group, and clarify that the closed Wilson loop does not possess an anomalous dimension and that only the shape…

高能物理 - 理论 · 物理学 2009-11-07 Takehiro Azuma , Hikaru Kawai
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