Built on

D. Fairlie and D. Roberts, Dual models without tachyons - a new approach,
1972
Earlier work this paper cites.
D. Roberts, Mathematical Structure of Dual Amplitudes,
1972
Earlier work this paper cites.
D. J. Gross and P. F. Mende, “ String Theory Beyond the Planck Scale ,” Nucl.Phys
1988
Earlier work this paper cites.
I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, “ Discriminants, Resultants, and Multidimensional Determinants ,” (Birkhäuser, Boston, 1994)
Original
1994
Earlier work this paper cites.
A. Dickenstein and I. Emiris, “ Multihomogeneous resultant matrices ,” ISSAC 2002 (2002) . http://mate.dm.uba.ar/ ∼ \displaystyle\scriptstyle\sim
2002
Earlier work this paper cites.
B. Sturmfels, “ Solving Systems of Polynomial Equations ,” Cbms Regional Conference Series in Mathematics. American Mathematical Society (2002) . https://math.berkeley.edu/ ∼ \displaystyle\scriptstyle\sim
2002
Earlier work this paper cites.
E. Witten, “ Perturbative gauge theory as a string theory in twistor space ,” Commun. Math. Phys
2004
Earlier work this paper cites.
E. Witten, “ Parity invariance for strings in twistor space ,” Adv.Theor.Math.Phys
2004
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.
D. B. Fairlie, “ A Coding of Real Null Four-Momenta into World-Sheet Co-ordinates ,” Adv.Math.Phys
Original
2009
Earlier work this paper cites.
P. Caputa and S. Hirano, “ Observations on Open and Closed String Scattering Amplitudes at High Energies ,” JHEP
Original
2012
Earlier work this paper cites.

Similar

P. Caputa, “ Lightlike contours with fermions ,” Phys.Lett
Original
2012
Cited alongside, same era.
Y. Makeenko and P. Olesen, “ The QCD scattering amplitude from area behaved Wilson loops ,” Phys.Lett
Original
2012
Cited alongside, same era.
F. Cachazo, S. He, and E. Y. Yuan, “ Scattering equations and Kawai-Lewellen-Tye orthogonality ,” Phys.Rev
Original
2014
Cited alongside, same era.
F. Cachazo, S. He, and E. Y. Yuan, “ Scattering of Massless Particles in Arbitrary Dimensions ,” Phys.Rev.Lett
Original
2014
Cited alongside, same era.
F. Cachazo, S. He, and E. Y. Yuan, “ Scattering of Massless Particles: Scalars, Gluons and Gravitons ,” JHEP
Original

Then

L. Mason and D. Skinner, “ Ambitwistor strings and the scattering equations ,” JHEP
Original
2014
Later among the works it cites.
N. Berkovits, “ Infinite Tension Limit of the Pure Spinor Superstring ,” JHEP
Original
2014
Later among the works it cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, P. Tourkine, and P. Vanhove, “ Scattering Equations and String Theory Amplitudes ,” Phys. Rev
Original
2014
Later among the works it cites.
F. Cachazo, S. He, and E. Y. Yuan, “ Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations ,” JHEP
Original
2015
Closest in time.
C. Lam, “ Permutation Symmetry of the Scattering Equations ,” Phys.Rev
Original

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…

2015

Elimination and recursions in the scattering equations

Cardona, Carlos, Kalousios, Chrysostomos

Understand

We use the elimination theory to explicitly construct the (n-3)! order polynomial in one of the variables of the scattering equations.

The answer can be given either in terms of a determinant of Sylvester type of dimension (n-3)! or a determinant of B\'ezout type of dimension (n-4)!.
We present a recursive formula for the Sylvester determinant.
Expansion of the determinants yields expressions in terms of Pl\"ucker coordinates.

Built on

D. Fairlie and D. Roberts, Dual models without tachyons - a new approach,
1972
Earlier work this paper cites.
D. Roberts, Mathematical Structure of Dual Amplitudes,
1972
Earlier work this paper cites.
D. J. Gross and P. F. Mende, “ String Theory Beyond the Planck Scale ,” Nucl.Phys
1988
Earlier work this paper cites.
I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, “ Discriminants, Resultants, and Multidimensional Determinants ,” (Birkhäuser, Boston, 1994)
Original
1994
Earlier work this paper cites.
A. Dickenstein and I. Emiris, “ Multihomogeneous resultant matrices ,” ISSAC 2002 (2002) . http://mate.dm.uba.ar/ ∼ \displaystyle\scriptstyle\sim
2002
Earlier work this paper cites.
B. Sturmfels, “ Solving Systems of Polynomial Equations ,” Cbms Regional Conference Series in Mathematics. American Mathematical Society (2002) . https://math.berkeley.edu/ ∼ \displaystyle\scriptstyle\sim
2002
Earlier work this paper cites.
E. Witten, “ Perturbative gauge theory as a string theory in twistor space ,” Commun. Math. Phys
2004
Earlier work this paper cites.
E. Witten, “ Parity invariance for strings in twistor space ,” Adv.Theor.Math.Phys
2004
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.
D. B. Fairlie, “ A Coding of Real Null Four-Momenta into World-Sheet Co-ordinates ,” Adv.Math.Phys
Original
2009
Earlier work this paper cites.
P. Caputa and S. Hirano, “ Observations on Open and Closed String Scattering Amplitudes at High Energies ,” JHEP
Original
2012
Earlier work this paper cites.