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We propose a recursion relation for tree-level scattering amplitudes in three-dimensional Chern-Simons-matter theories. The recursion relation involves a complex deformation of momenta which generalizes the BCFW-deformation used in higher…

高能物理 - 理论 · 物理学 2015-03-17 Dongmin Gang , Yu-tin Huang , Eunkyung Koh , Sangmin Lee , Arthur E. Lipstein

We consider a self-interacting scalar field in a de Sitter background and deal with the associated infrared divergences in a purely diagrammatic way using the in-in formalism. In the particular case of a large N O(N) invariant scalar field…

广义相对论与量子宇宙学 · 物理学 2008-10-21 G. Petri

We illustrate the power and efficiency of a recently uncovered Mellin-space approach to AdS/CFT correlation functions by providing a universal formula for the 4-scalar graviton-exchange Witten diagram, for arbitrary CFT-dual scaling…

高能物理 - 理论 · 物理学 2012-11-20 Gregory Giecold

We use the AdS/CFT correspondence to explicitly calculate some of the three-point functions in the planar limit of the 4d $\mathcal{N}=1$ Leigh-Strassler SCFT. This strongly interacting CFT can be obtained as a mass deformation of the 4d…

高能物理 - 理论 · 物理学 2025-10-23 Nikolay Bobev , Hynek Paul

We elaborate on a new recursive method proposed in arXiv:2312.15484 for computing tree-level $n$-point supergluon amplitudes as well as those with one gluon, i.e., spinning amplitudes, in ${\rm AdS}_5 \times S^3$. We present an improved…

高能物理 - 理论 · 物理学 2024-07-23 Qu Cao , Song He , Xiang Li , Yichao Tang

We investigate loop corrections to the four-point function of identical scalar operators in a four-dimensional large $N$ conformal field theory, holographically dual to AdS with a quartic interaction. We focus on the universal part of the…

高能物理 - 理论 · 物理学 2025-09-17 Agnese Bissi , Giulia Fardelli , Mohammad Reza Khansari

AdS_4/CFT_3 duality relating IIA string theory on AdS_4 x CP^3 to N=6 superconformal Chern-Simons theory provides an arena for studying aspects of integrability in a new potentially exactly solvable system. In this paper we explore the…

高能物理 - 理论 · 物理学 2009-09-28 Chrysostomos Kalousios , C. Vergu , Anastasia Volovich

The tree amplitudes in scalar field theories are presented at all $n$. The momentum routing of propagators is given at $n$-point in terms of a specified set of numbers, and the mass expansion of the massive theories is generated. A group…

综合物理 · 物理学 2007-05-23 Gordon Chalmers

We prove that all tree-level $n$-point supergluon (scalar) amplitudes in AdS$_5$ can be recursively constructed, using factorization and flat-space limit. Our method is greatly facilitated by a natural R-symmetry basis for planar…

高能物理 - 理论 · 物理学 2025-08-12 Qu Cao , Song He , Yichao Tang

It was proposed in hep-th/0403047 that all tree amplitudes in pure Yang-Mills theory can be constructed from known MHV amplitudes. We apply this approach for calculating tree amplitudes of gauge fields and fermions and find agreement with…

高能物理 - 理论 · 物理学 2010-02-03 George Georgiou , Valentin V. Khoze

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…

高能物理 - 理论 · 物理学 2009-10-31 Teruhiko Kawano , Kazumi Okuyama

We compute the two-point open string and closed string amplitudes at tree level and show that, in a 't Hooft-like limit, they take a form structurally analogous to boundary-to-boundary transition amplitudes of a scalar field in Euclidean…

高能物理 - 理论 · 物理学 2025-07-09 Pongwit Srisangyingcharoen , Jongruk Pukdee

We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD…

高能物理 - 唯象学 · 物理学 2020-03-18 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Achilleas Lazopoulos , Martin Michel

Recent work has demonstrated that vector offsets obtained by subtracting pretrained word embedding vectors can be used to predict lexical relations with surprising accuracy. Inspired by this finding, in this paper, we extend the idea to the…

计算与语言 · 计算机科学 2019-07-19 Jingyuan Zhang , Timothy Baldwin

We present for the first time classical multiparticle solutions in Anti de Sitter space (AdS) involving scalars, gluons, and gravitons. They are recursively defined through multiparticle currents which reduce to Berends-Giele currents in…

高能物理 - 理论 · 物理学 2022-12-26 Connor Armstrong , Humberto Gomez , Renann Lipinski Jusinskas , Arthur Lipstein , Jiajie Mei

We compute higher-point superstring correlators involving spin fields in various even space-time dimensions D at tree-level and to arbitrary loop order. This generalizes previous work in D=4 space-time dimensions. The main focus are D=6,8…

高能物理 - 理论 · 物理学 2011-06-15 D. Haertl , O. Schlotterer

We address the problem of computing scattering amplitudes related to the correlation function of two Wilson lines and/or loops elongated along light-cone directions in strongly coupled gauge theories. Using the AdS/CFT correspondence in the…

高能物理 - 理论 · 物理学 2008-11-26 R. A. Janik , R. Peschanski

We propose a new bottom up method to construct tree amplitudes of non-linear sigma model (NLSM) and special Galileon theory (SG), based on assuming the universality of soft behaviors and the double copy structure. We extend the on-shell…

高能物理 - 理论 · 物理学 2026-05-05 Kang Zhou

We derive the first ever on-shell recursion relations for amplitudes in effective field theories. Based solely on factorization and the soft behavior of amplitudes, these recursion relations employ a new rescaling momentum shift to…

高能物理 - 理论 · 物理学 2016-02-03 Clifford Cheung , Karol Kampf , Jiri Novotny , Chia-Hsien Shen , Jaroslav Trnka

The scattering equations relate massless scattering kinematics to marked points on a Riemann sphere, and underpin remarkable formulae for the full tree-level S-matrices of many interesting QFTs, including cubic biadjoint scalars, Yang-Mills…

高能物理 - 理论 · 物理学 2026-01-13 Tim Adamo , Iustin Surubaru , Bin Zhu