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A note on on-shell recursion relation of string amplitudes · Around

2012

A note on on-shell recursion relation of string amplitudes

Chang, Yung-Yeh, Feng, Bo, Fu, Chih-Hao et al.

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In the application of on-shell recursion relation to string amplitudes, one challenge is the sum over infinite intermediate on-shell string states.

In this note, we show how to sum these infinite states explicitly by including unphysical states to make complete Fock space.

Built on

H. Kawai, D. Lewellen and H. Tye, ”A Relation Betwwen Tree Amplitudes of Closed and Open Strings”, Nucl.Phys.B269 (1986)1
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M.B. Green, J.H. Schwarz & E. Witten, ”Superstring Theory”, Volume 1, Cambridge University Press, 1987
1987
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Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, “One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits,” Nucl. Phys. B 425
1995
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R. Britto, F. Cachazo and B. Feng, “New recursion relations for tree amplitudes of gluons,” Nucl. Phys. B 715
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. 94
2005
Earlier work this paper cites.

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2010

Cited alongside, same era.

B. Feng and M. Luo, “An Introduction to On-shell Recursion Relations,” arXiv:1111.5759 [hep-th]

Cited in the paper.

P. Benincasa and F. Cachazo, “Consistency Conditions on the S-Matrix of Massless Particles,” arXiv:0705.4305 [hep-th]

Cited in the paper.

2012

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