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Direct proof of the tree-level scattering amplitude recursion relation in Yang-mills theory.

- R. Britto, F. Cachazo, Bo Feng, E. Witten
- Physics, Medicine
- Physical review letters
- 7 January 2005

Recently, by using the known structure of one-loop scattering amplitudes for gluons in Yang-Mills theory, a recursion relation for tree-level scattering amplitudes has been deduced. Here, we give a… Expand

1,027 74- PDF

New recursion relations for tree amplitudes of gluons

- R. Britto, F. Cachazo, Bo Feng
- Physics
- 27 December 2004

Abstract We present new recursion relations for tree amplitudes in gauge theory that give very compact formulas. Our relations give any tree amplitude as a sum over terms constructed from products of… Expand

804 74- PDF

MHV vertices and tree amplitudes in gauge theory

- F. Cachazo, Peter Svrček, E. Witten
- Physics
- 3 March 2004

As an alternative to the usual Feynman graphs, tree amplitudes in Yang-Mills theory can be constructed from tree graphs in which the vertices are tree level MHV scattering amplitudes, continued off… Expand

612 73- PDF

Scattering of massless particles in arbitrary dimensions.

- F. Cachazo, Song He, Ellis Ye Yuan
- Physics, Medicine
- Physical review letters
- 8 July 2013

We present a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimensions. The new formula for the scattering of n particles is given… Expand

443 56- PDF

A Geometric unification of dualities

- F. Cachazo, B. Fiol, K. Intriligator, S. Katz, C. Vafa
- Physics
- 2 October 2001

Abstract We study the dynamics of a large class of N =1 quiver theories, geometrically realized by type IIB D-brane probes wrapping cycles of local Calabi–Yau three-folds. These include N =2 (affine)… Expand

302 51- PDF

What is the simplest quantum field theory?

- N. Arkani-Hamed, F. Cachazo, J. Kaplan
- Physics
- 11 August 2008

Conventional wisdom says that the simpler the Lagrangian of a theory the simpler its perturbation theory. An ever-increasing understanding of the structure of scattering amplitudes has however been… Expand

464 50- PDF

Chiral Rings and Anomalies in Supersymmetric Gauge Theory

- F. Cachazo, M. Douglas, N. Seiberg, E. Witten
- Physics
- 18 November 2002

Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary… Expand

408 50- PDF

A duality for the S matrix

- N. Arkani-Hamed, F. Cachazo, C. Cheung, J. Kaplan
- Physics
- 31 July 2009

We propose a dual formulation for the S Matrix of $$ \mathcal N $$ = 4 SYM. The dual provides a basis for the “leading singularities” of scattering amplitudes to all orders in perturbation theory,… Expand

374 49- PDF

A large N duality via a geometric transition

- F. Cachazo, K. Intriligator, C. Vafa
- Physics
- 9 March 2001

Abstract We propose a large N dual of 4d, N =1 supersymmetric, SU ( N ) Yang–Mills with adjoint field Φ and arbitrary superpotential W ( Φ ). The field theory is geometrically engineered via D-branes… Expand

417 49- PDF

Scattering Amplitudes and the Positive Grassmannian

- N. Arkani-Hamed, J. Bourjaily, F. Cachazo, A. Goncharov, A. Postnikov, J. Trnka
- Physics, Mathematics
- 27 August 2012

We establish a direct connection between scattering amplitudes in planar four-dimensional theories and a remarkable mathematical structure known as the positive Grassmannian. The central physical… Expand

334 45- PDF

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