Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program

Details Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program

2010-04-20

arxiv.org/abs/1004.3417v3

Phys.Lett.B695:350-353,2011

Physics

High Energy Physics

High Energy Physics - Theory

4 Pages. No Figures. Rewriting of Introduction

Scientific paper

10.1016/j.physletb.2010.11.011

Using only the Britto-Cachazo-Feng-Witten(BCFW) on-shell recursion relation we prove color-order reversed relation, $U(1)$-decoupling relation, Kleiss-Kuijf(KK) relation and Bern-Carrasco-Johansson(BCJ) relation for color-ordered gauge amplitude in the framework of S-matrix program without relying on Lagrangian description. Our derivation is the first pure field theory proof of the new discovered BCJ identity, which substantially reduces the color ordered basis from $(n-2)!$ to $(n-3)!$. Our proof gives also its physical interpretation as the mysterious bonus relation with ${1\over z^2}$ behavior under suitable on-shell deformation for no adjacent pair.

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