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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…

High Energy Physics - Theory · Physics 2016-08-25 David Berenstein , Richard Corrado , Willy Fischler , Juan Maldacena

We compute the two and three-point correlation functions of chiral primary operators in the large N limit of the (0,2), d=6 superconformal theory. We also consider the operator product expansion of Wilson surfaces in the (0,2) theory and…

High Energy Physics - Theory · Physics 2009-10-31 Richard Corrado , Bogdan Florea , Robert McNees

The operator product expansion in four-dimensional superconformal field theory is discussed. The OPE takes a particularly simple form for chiral operators, in $N=1$ and $N=2$, and for analytic operators, in $N=2$ and $N=4$. It is argued…

High Energy Physics - Theory · Physics 2009-10-30 P. S. Howe , P. C. West

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…

High Energy Physics - Phenomenology · Physics 2015-06-03 Sven Zschocke , Thomas Hilger , Burkhard Kampfer

In the conformal field theories having affine SL(2) symmetry, we study the operator product expansion (OPE) involving primary fields in highest weight representations. For this purpose, we analyze properties of primary fields with definite…

High Energy Physics - Theory · Physics 2014-11-18 Kazuo Hosomichi , Yuji Satoh

We investigate the M5-brane description of the Wilson surface operators in six-dimensional (2,0) superconformal field theory from AdS/CFT correspondence. We consider the Wilson surface operators in high-dimensional representation, whose…

High Energy Physics - Theory · Physics 2008-11-26 Bin Chen , Wei He , Jun-Bao Wu , Liang Zhang

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…

High Energy Physics - Lattice · Physics 2008-11-26 W. Bietenholz , N. Cundy , M. Göckeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , C. J. Roberts , G. Schierholz , A. Schiller , J. M. Zanotti

The operator product expansion (OPE) in 4d (super)conformal field theory is of broad interest, for both formal and phenomenological applications. In this paper, we use conformal perturbation theory to study the OPE of nearly-free fields…

High Energy Physics - Theory · Physics 2015-06-04 Daniel Green , David Shih

Some of the operator product expansions (OPEs) between the lowest $SO(4)$ singlet higher spin-$2$ multiplet of spins $(2, \frac{5}{2}, \frac{5}{2}, \frac{5}{2}, \frac{5}{2}, 3, 3, 3, 3, 3, 3, \frac{7}{2}, \frac{7}{2}, \frac{7}{2},…

High Energy Physics - Theory · Physics 2019-07-24 Changhyun Ahn , Man Hea Kim , Jinsub Paeng

Form factors in planar N=4 Super-Yang-Mills theory admit a type of non-perturbative operator product expansion (OPE), as we have recently shown in arXiv:2009.11297. This expansion is based on a decomposition of the dual periodic Wilson loop…

High Energy Physics - Theory · Physics 2022-08-24 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

We construct the operator product expansions (OPE) of the chiral primary operators in the worldsheet theory for strings on AdS_3 x S^3 x T^4. As an interesting application, we will use the worldsheet OPEs to derive a recursion relation for…

High Energy Physics - Theory · Physics 2015-05-28 Ingo Kirsch , Tim Wirtz

As an improvement of the QCD sum rule method to study modifications of light vector mesons in nuclear matter and/or at finite temperature, we calculate the Wilson coefficients of all independent gluonic non-scalar operators up to dimension…

High Energy Physics - Phenomenology · Physics 2017-07-04 HyungJoo Kim , Philipp Gubler , Su Houng Lee

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…

High Energy Physics - Theory · Physics 2015-05-28 Stefan Hollands , Christoph Kopper

In this article, we initiate the study of operator product expansions (OPEs) for the sine-Gordon model. For simplicity, we focus on the model below the first threshold of collapse ($\beta<4\pi$) and on the singular terms in OPEs of…

Mathematical Physics · Physics 2026-05-08 Alex Karrila , Tuomas Virtanen , Christian Webb

Some of the operator product expansions (OPEs) between the lowest 16 higher spin currents of spins (1, 3/2, 3/2, 3/2, 3/2, 2, 2, 2, 2, 2, 2, 5/2, 5/2, 5/2, 5/2, 3) in an extension of the large N=4 linear superconformal algebra were…

High Energy Physics - Theory · Physics 2016-08-03 Changhyun Ahn , Man Hea Kim

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands

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…

High Energy Physics - Theory · Physics 2015-05-30 Natalia Saulina

We study the operator product expansions in the chiral algebra $\mathcal{W}_{\infty}$, first using the associativity conditions in the basis of primary generating fields and second using a different basis coming from the free field…

High Energy Physics - Theory · Physics 2015-10-28 Tomas Prochazka

In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N=4 super Yang-Mills theory. This is done using the recently established relation between higher…

High Energy Physics - Theory · Physics 2009-11-11 Simone Giombi , Riccardo Ricci , Diego Trancanelli

In this paper analytical results are presented for higher order corrections to coefficient functions of the operator product expansion (OPE) for the correlator of two pseudoscalar gluonium operators \tilde{O}_1=G^{\mu \nu}\tilde{G}_{\mu…

High Energy Physics - Phenomenology · Physics 2017-07-25 M. F. Zoller
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