Built on

F. A. Berends and W. T. Giele, “Recursive Calculations for Processes with n n Gluons,” Nucl. Phys
1988
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “New Recursion Relations for Tree Amplitudes of Gluons,” Nucl. Phys
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, and E. Witten, “Direct Proof of Tree-Level Recursion Relation in Yang- Mills Theory,” Phys. Rev. Lett
2005
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Gluon Scattering Amplitudes at Strong Coupling,” JHEP
Original
2007
Earlier work this paper cites.
J. M. Drummond, J. Henn, V. A. Smirnov, and E. Sokatchev, “Magic Identities for Conformal Four-Point Integrals,” JHEP
2007
Earlier work this paper cites.
N. Berkovits and J. Maldacena, “Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection,” JHEP
Original
2008
Earlier work this paper cites.
J. M. Drummond, J. Henn, G. P. Korchemsky, and E. Sokatchev, “Dual Superconformal Symmetry of Scattering Amplitudes in 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills Theory,” 2008, arXiv:0807.1095 [hep-th]
Original
2008
Earlier work this paper cites.

Similar

A. Hodges, “Eliminating Spurious Poles from Gauge-Theoretic Amplitudes,” 2009, arXiv:0905.1473 [hep-th]
Original
2009
Cited alongside, same era.
J. M. Drummond, J. M. Henn, and J. Plefka, “Yangian Symmetry of Scattering Amplitudes in 𝒩 = 4 \mathcal{N}=4 Super Yang-Mills Theory,” JHEP
Original
2009
Cited alongside, same era.
N. Arkani-Hamed, F. Cachazo, C. Cheung, and J. Kaplan, “A Duality for The S-Matrix,” 2009, arXiv:0907.5418 [hep-th]
Original
2009
Cited alongside, same era.
L. Mason and D. Skinner, “Dual Superconformal Invariance, Momentum Twistors and Grassmannians,” JHEP
Original
2009
Cited alongside, same era.
N. Arkani-Hamed, J. Bourjaily, F. Cachazo, and J. Trnka, “Local Spacetime Physics from the Grassmannian,” 2009, arXiv:0912.3249 [hep-th]

Then

L. Mason and D. Skinner, “The Complete Planar S-Matrix of 𝒩 = 4 \mathcal{N}=4 SYM as a Wilson Loop in Twistor Space,” JHEP
Original
2010
Closest in time.
S. Caron-Huot, “Notes on the Scattering Amplitude / Wilson Loop Duality,” 2010, arXiv:1010.1167 [hep-th]
Original
2010
Closest in time.
M. Bullimore, “MHV Diagrams from an All-Line Recursion Relation,” 2010, arXiv:1010.5921 [hep-th]
Original
2010
Closest in time.
M. Bullimore, L. J. Mason and D. Skinner, JHEP 1012
Original
2010
Closest in time.
L. F. Alday, J. M. Henn, J. Plefka and T. Schuster, JHEP 1001
Original
2010

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2010

A Note on Polytopes for Scattering Amplitudes

Arkani-Hamed, Nima, Bourjaily, Jacob L., Cachazo, Freddy et al.

Understand

In this note we continue the exploration of the polytope picture for scattering amplitudes, where amplitudes are associated with the volumes of polytopes in generalized momentum-twistor spaces.

After a quick warm-up example illustrating the essential ideas with the elementary geometry of polygons in CP^2, we interpret the 1-loop MHV integrand as the volume of a polytope in CP^3x CP^3, which can be thought of as the space obtained by taking the geometric dual of the Wilson loop in each CP^3 of the product.
We then review the polytope picture for the NMHV tree amplitude and give it a more direct and intrinsic definition as the geometric dual of a canonical "square" of the Wilson-Loop polygon, living in a certain extension of momentum-twistor space into CP^4.
In both cases, one natural class of triangulations of the polytope produces the BCFW/CSW representations of the amplitudes; another class of triangulations leads to a striking new form, which is both remarkably simple as well as manifestly cyclic and local.

Built on

F. A. Berends and W. T. Giele, “Recursive Calculations for Processes with n n Gluons,” Nucl. Phys
1988
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “New Recursion Relations for Tree Amplitudes of Gluons,” Nucl. Phys
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, and E. Witten, “Direct Proof of Tree-Level Recursion Relation in Yang- Mills Theory,” Phys. Rev. Lett
2005
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Gluon Scattering Amplitudes at Strong Coupling,” JHEP
Original
2007
Earlier work this paper cites.
J. M. Drummond, J. Henn, V. A. Smirnov, and E. Sokatchev, “Magic Identities for Conformal Four-Point Integrals,” JHEP
2007
Earlier work this paper cites.
N. Berkovits and J. Maldacena, “Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection,” JHEP
Original
2008
Earlier work this paper cites.
J. M. Drummond, J. Henn, G. P. Korchemsky, and E. Sokatchev, “Dual Superconformal Symmetry of Scattering Amplitudes in 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills Theory,” 2008, arXiv:0807.1095 [hep-th]
Original
2008
Earlier work this paper cites.