scholarly journals A shortcut to general tree-level scattering amplitudes in \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} = 4$\end{document} SYM via integrability

2014 ◽  
Vol 62 (7) ◽  
pp. 556-572 ◽  
Author(s):  
N. Kanning ◽  
T. Łukowski ◽  
M. Staudacher
Keyword(s):  
Scattering Amplitudes ◽  
Tree Level ◽  
General Tree

TREE DIAGRAMS IN WITTEN’S SUPERSTRING FIELD THEORY

1989 ◽  
Vol 04 (21) ◽  
pp. 2063-2071
Author(s):  
GEORGE SIOPSIS
Keyword(s):  
Field Theory ◽  
Scattering Amplitudes ◽  
Invariant Theory ◽  
Higher Order ◽  
Contact Term ◽  
Tree Level ◽  
Gauge Invariant

It is shown that the contact term discovered by Wendt is sufficient to ensure finiteness of all tree-level scattering amplitudes in Witten’s field theory of open superstrings. Its inclusion in the action also leads to a gauge-invariant theory. Thus, no additional higher-order counterterms in the action are needed.

scholarly journals PROBING THE FROISSART BOUND FOR MODELS WITH CHARGED VECTOR FIELDS IN D=3

1994 ◽  
Vol 09 (18) ◽  
pp. 1695-1700 ◽  
Author(s):  
O.M. DEL CIMA
Keyword(s):  
Asymptotic Behavior ◽  
Scattering Amplitudes ◽  
Gauge Field ◽  
Vector Fields ◽  
Three Dimensional ◽  
Tree Level ◽  
Abelian Gauge ◽  
Gauge Invariant ◽  
Maxwell Fields ◽  
Chern Simons

One discusses the tree-level unitarity and presents asymptotic behavior of scattering amplitudes for three-dimensional gauge-invariant models where complex Chern- Simons-Maxwell fields (with and without a Proca-like mass) are coupled to an Abelian gauge field.

scholarly journals 10D super-Yang-Mills scattering amplitudes from its pure spinor action

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Maor Ben-Shahar ◽  
Max Guillen
Keyword(s):  
Scattering Amplitudes ◽  
Jacobi Identity ◽  
Gauge Condition ◽  
Tree Level ◽  
Pure Spinor ◽  
Yang Mills

Abstract Using the pure spinor master action for 10D super-Yang-Mills in the gauge b0V = QΞ, tree-level scattering amplitudes are calculated through the perturbiner method, and shown to match those obtained from pure spinor CFT techniques. We find kinematic numerators made of nested b-ghost operators, and show that the Siegel gauge condition b0V = 0 gives rise to color-kinematics duality satisfying numerators whose Jacobi identity follows from the Jacobi identity of a kinematic algebra.

scholarly journals Tree-level splitting amplitudes for a gluon into four collinear partons

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Vittorio Del Duca ◽  
Claude Duhr ◽  
Rayan Haindl ◽  
Achilleas Lazopoulos ◽  
Martin Michel
Keyword(s):  
Scattering Amplitudes ◽  
Strong Coupling ◽  
Strong Coupling Constant ◽  
Tree Level ◽  
Leading Order ◽  
Coupling Constant ◽  
Level Splitting ◽  
Infrared Behaviour

Abstract We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a gluon parent which splits into four collinear partons. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next-to-next-to-next-to-leading order (N3LO) in the strong coupling constant. Combined with our earlier results for a quark parent, this completes the set of tree-level splitting amplitudes required at this order. We also study iterated collinear limits where a subset of the four collinear partons become themselves collinear.

scholarly journals The boostless bootstrap and BCFW momentum shifts

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
David Stefanyszyn ◽  
Jakub Supeł
Keyword(s):  
Scattering Amplitudes ◽  
Tree Level ◽  
Particle Interactions ◽  
Particle Scattering ◽  
Consistency Check ◽  
Independent Verification ◽  
Lorentz Boosts

Abstract In a recent paper [1], three-particle interactions without invariance under Lorentz boosts were constrained by demanding that they yield tree-level four-particle scattering amplitudes with singularities as dictated by unitarity and locality. In this brief note, we show how to obtain an independent verification and consistency check of these boostless bootstrap results using BCFW momentum shifts. We point out that the constructibility criterion, related to the behaviour of the deformed amplitude at infinite BCFW parameter z, is not strictly necessary to obtain non-trivial constraints for the three-particle interactions.

scholarly journals Gluon scattering in AdS from CFT

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Luis F. Alday ◽  
Connor Behan ◽  
Pietro Ferrero ◽  
Xinan Zhou
Keyword(s):  
Scattering Amplitudes ◽  
String Theory ◽  
Phenomenological Models ◽  
Systematic Study ◽  
Central Charge ◽  
Conformal Symmetry ◽  
Tree Level ◽  
Leading Order ◽  
Vast Array ◽  
Higher Weights

Abstract We present a systematic study of holographic correlators in a vast array of SCFTs with non-maximal superconformal symmetry. These theories include 4d $$ \mathcal{N} $$ N = 2 SCFTs from D3-branes near F-theory singularities, 5d Seiberg exceptional theories and 6d E-string theory, as well as 3d and 4d phenomenological models with probe flavor branes. We consider current multiplets and their generalizations with higher weights, dual to massless and massive super gluons in the bulk. At leading order in the inverse central charge expansion, connected four-point functions of these operators correspond to tree-level gluon scattering amplitudes in AdS. We show that all such tree-level four-point amplitudes in all these theories are fully fixed by symmetries and consistency conditions and explicitly construct them. Our results encode a wealth of SCFT data and exhibit various interesting emergent structures. These include Parisi-Sourlas-like dimensional reductions, hidden conformal symmetry and an AdS version of the color-kinematic duality.

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