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Related papers: Spinning Mellin amplitudes

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We propose a new program for computing a certain integrand of scattering amplitudes of four-dimensional gauge theories which we call the \textit{form factor integrand}, starting from 6d holomorphic theories on twistor space. We show that…

High Energy Physics - Theory · Physics 2023-01-03 Kevin Costello , Natalie M. Paquette

We investigate massless n-point one-loop amplitudes of the open RNS superstring with two external fermions and determine their worldsheet integrands. The contributing correlation functions involving spin-1/2 and spin-3/2 operators from the…

High Energy Physics - Theory · Physics 2018-06-21 Seungjin Lee , Oliver Schlotterer

Correlators of gauge invariant operators provide useful information on the dynamics, phases and spectra of a quantum field theory. In this paper, we consider N=1 supersymmetric theories and focus our attention on the supercurrent multiplet.…

High Energy Physics - Theory · Physics 2015-01-19 Riccardo Argurio , Matteo Bertolini , Lorenzo Di Pietro , Flavio Porri , Diego Redigolo

We introduce two new graphical-level relations among possible contributions to the four-point correlation function and scattering amplitude in planar, maximally supersymmetric Yang-Mills theory. When combined with the rung rule, these prove…

High Energy Physics - Theory · Physics 2016-12-21 Jacob L. Bourjaily , Paul Heslop , Vuong-Viet Tran

We explicitly calculate a Witten diagram with general spinor field exchange on $(d+1)$-dimensional Euclidean Anti-de Sitter space, which is necessary to evaluate four-point correlation functions with spinor fields when we make use of the…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Kazumi Okuyama

We discuss gluon scattering amplitudes/null-polygonal Wilson loops of N = 4 super Yang-Mills theory at strong coupling based on the gauge/string duality and its underlying integrability. We focus on the amplitudes/Wilson loops corresponding…

High Energy Physics - Theory · Physics 2015-06-12 Yuji Satoh

In the work, the recurrent differential relations that connecting the polarization spin-tensor of the wave function of a free massive particle of an arbitrary spin for $D=4$ and new formula of the $D$-dimensional Behrends-Fronsdal spin…

High Energy Physics - Theory · Physics 2019-09-04 Mikhail Podoinitsyn

Combining the Berends-Giele and on-shell recursion relations we obtain an extremely compact expression for the scattering amplitude of a complex scalar-antiscalar pair and an arbitrary number of positive helicity gluons. This is one of the…

High Energy Physics - Theory · Physics 2011-03-22 Paola Ferrario , German Rodrigo , Pere Talavera

This paper has two parts. We first compute the leading contribution to the strong-coupling mixing between the Konishi operator and a double-trace operator composed of chiral primaries by using flat-space vertex operators for the…

High Energy Physics - Theory · Physics 2016-01-21 Joseph A. Minahan , Raul Pereira

Both for quark flavor asymmetry and valence, we consider the anomalous dimension of the non-singlet twist-two quark operator of arbitrary Lorentz spin N at four loops in SU(nc) color gauge theory and present its term proportional to zeta(3)…

High Energy Physics - Phenomenology · Physics 2026-05-12 B. A. Kniehl , V. N. Velizhanin

We consider the finite part of the leading local interactions in the low energy expansion of the four graviton amplitude from the ladder skeleton diagrams in maximal supergravity on T^2, at three and four loops. At three loops, we express…

High Energy Physics - Theory · Physics 2015-09-30 Anirban Basu

In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT). The simplest way of converting momentum space…

High Energy Physics - Theory · Physics 2022-09-07 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We propose a new approach towards analytically solving for the dynamical content of Conformal Field Theories (CFTs) using the bootstrap philosophy. This combines the original bootstrap idea of Polyakov with the modern technology of the…

High Energy Physics - Theory · Physics 2017-03-01 Rajesh Gopakumar , Apratim Kaviraj , Kallol Sen , Aninda Sinha

The most general operator product expansion in conformal field theory is obtained using the embedding space formalism and a new uplift for general quasi-primary operators. The uplift introduced here, based on quasi-primary operators with…

High Energy Physics - Theory · Physics 2020-07-15 Jean-François Fortin , Witold Skiba

The decomposition of 4-point correlation functions into conformal partial waves is a central tool in the study of conformal field theory. We compute these partial waves for scalar operators in Minkowski momentum space, and find a…

High Energy Physics - Theory · Physics 2021-04-14 Marc Gillioz

We consider meson scattering in the framework of the lattice strong coupling expansion. In particular we derive an expression for the 4-point function of meson operators in the planar limit of scalar Chromodynamics. Interestingly, in the…

High Energy Physics - Lattice · Physics 2018-03-14 Adi Armoni , Edwin Ireson , Davide Vadacchino

The computation of CFT correlation functions via Witten diagrams in AdS space can be simplified via the Mellin transform. Recently a set of Feynman rules for tree-level Mellin space amplitudes has been proposed for scalar theories. In this…

High Energy Physics - Theory · Physics 2015-06-03 Dhritiman Nandan , Anastasia Volovich , Congkao Wen

A method for Monte Carlo simulation of 2D spin-polarized electron transport in III-V semiconductor heterojunction FETs is presented. In the simulation, the dynamics of the electrons in coordinate and momentum space is treated…

Condensed Matter · Physics 2010-10-12 Min Shen , Semion Saikin , Ming-C. Cheng , Vladimir Privman

Assuming locality, Lorentz invariance and parity conservation we obtain a set of differential equations governing the 3-point interactions of massless bosons, which in turn determines the polynomial ring of these amplitudes. We derive all…

High Energy Physics - Theory · Physics 2019-01-23 Zhengdi Sun , Hui Xu , Yeuk-Kwan E. Cheung

By replacing two of the bosonic scalar superfields of the N=2 string with fermionic scalar superfields (which shifts $d_{critical}$ from (2,2) to (9,1)), a quadratic action for the ten-dimensional Green-Schwarz superstring is obtained.…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Berkovits
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