English
Related papers

Related papers: Multichannel Conformal Blocks for Polygon Wilson L…

200 papers

We report on the complete OPE series for the 6-gluon MHV and NMHV amplitudes in planar $\mathcal{N}=4$ SYM theory. Namely, we provide a finite coupling prediction for all the terms in the expansion of these amplitudes around the collinear…

High Energy Physics - Theory · Physics 2016-10-12 Benjamin Basso , Amit Sever , Pedro Vieira

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…

High Energy Physics - Theory · Physics 2015-06-19 Yasuyuki Hatsuda

One of the most striking successes of the lightcone bootstrap has been the perturbative computation of the anomalous dimensions and OPE coefficients of double-twist operators with large spin. It is expected that similar results for…

High Energy Physics - Theory · Physics 2023-09-15 Apratim Kaviraj , Jeremy A. Mann , Lorenzo Quintavalle , Volker Schomerus

We extend the Operator Product Expansion (OPE) for scattering amplitudes in planar N=4 SYM to account for all possible helicities of the external states. This is done by constructing a simple map between helicity configurations and…

High Energy Physics - Theory · Physics 2015-09-02 Benjamin Basso , Joao Caetano , Lucia Cordova , Amit Sever , Pedro Vieira

We derive a dispersion relation for two-point correlation functions in defect conformal field theories. The correlator is expressed as an integral over a (single) discontinuity that is controlled by the bulk channel operator product…

High Energy Physics - Theory · Physics 2023-08-02 Lorenzo Bianchi , Davide Bonomi

We describe in detail the method used in our previous work arXiv:1611.10344 to study the Wilson-Fisher critical points nearby generalized free CFTs, exploiting the analytic structure of conformal blocks as functions of the conformal…

High Energy Physics - Theory · Physics 2017-05-24 Ferdinando Gliozzi , Andrea L. Guerrieri , Anastasios C. Petkou , Congkao Wen

We present a new algorithm for the numerical evaluation of five-point conformal blocks in $d$-dimensions, greatly improving the efficiency of their computation. To do this we use an appropriate ansatz for the blocks as a series expansion in…

High Energy Physics - Theory · Physics 2025-07-03 David Poland , Valentina Prilepina , Petar Tadić

The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid…

High Energy Physics - Theory · Physics 2021-05-26 Simon Caron-Huot , Joshua Sandor

We compute $d$-dimensional scalar six-point conformal blocks in the two possible topologies allowed by the operator product expansion. Our computation is a simple application of the embedding space operator product expansion formalism…

High Energy Physics - Theory · Physics 2020-12-30 Jean-François Fortin , Wen-Jie Ma , Witold Skiba

We introduce a full set of rules to directly express all $M$-point conformal blocks in one- and two-dimensional conformal field theories, irrespective of the topology. The $M$-point conformal blocks are power series expansion in some…

High Energy Physics - Theory · Physics 2020-09-17 Jean-François Fortin , Wen-Jie Ma , Witold Skiba

Null Polygon Wilson Loops (WL) in N=4 SYM can be computed using the Operator Product Expansion in terms of a transition amplitude on top of a color flux tube (FT). That picture is valid at any value of the 't Hooft coupling. So far it has…

High Energy Physics - Theory · Physics 2015-06-11 Amit Sever , Pedro Vieira , Tianheng Wang

Conformal blocks are the building blocks for correlation functions in conformal field theories. The four-point function is the most well-studied case. We consider conformal blocks for $n$-point correlation functions. For conformal field…

High Energy Physics - Theory · Physics 2019-03-27 Vladimir Rosenhaus

We consider the ratio of the correlation function of an hexagon light-like Wilson loop with one local operator over the expectation value of the Wilson loop within the strong-coupling regime of the AdS/CFT correspondence. We choose the…

High Energy Physics - Theory · Physics 2013-09-30 Rafael Hernandez , Juan Miguel Nieto

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…

High Energy Physics - Theory · Physics 2015-06-03 Harald Dorn , Sebastian Wuttke

We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary part admits an expansion in conformal blocks. The blocks…

High Energy Physics - Theory · Physics 2020-12-29 Marc Gillioz

Higher-point functions of scalar operators are a rich observable in CFTs, as they contain OPE data involving multiple spinning operators. We derive the lightcone blocks for five- and six-point functions in the snowflake channel and use them…

High Energy Physics - Theory · Physics 2022-04-05 António Antunes , Miguel S. Costa , Vasco Goncalves , Joao Vilas Boas

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

We compute the $\mathcal{N}=1$ superconformal blocks from the networks of open Wilson lines in the $\text{osp}(1|2)$ Chern-Simons theory in the expansion of large central charge $c$. We first reproduce the $1/c$ correction of conformal…

High Energy Physics - Theory · Physics 2018-10-01 Yasuaki Hikida , Takahiro Uetoko

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

We consider the correlation function of a null Wilson loop with four edges and a local operator in planar MSYM. By applying the insertion procedure, developed for correlation functions of local operators, we give an integral representation…

High Energy Physics - Theory · Physics 2013-10-17 Luis F. Alday , Paul Heslop , Jakub Sikorowski