An introduction to on-shell recursion relations

作者: Bo Feng , Mingxing Luo

DOI: 10.1007/S11467-012-0270-Z

关键词:

摘要: This article provides an introduction to on-shell recursion relations for calculations of tree-level amplitudes. Starting with the basics, such as spinor notations and color decompositions, we expose analytic properties gauge-boson amplitudes, BCFW-deformations, large z-behavior gluons. We discuss further developments relations, including generalization other quantum field theories, supersymmetric theories in particular, off-shell currents, relation nonzero boundary contributions, bonus rational parts one-loop 3D a proof CSW rules. Finally, present samples applications, solutions split helicity amplitudes N = 4 SYM consequences consistent conditions under relation, Kleiss-Kuijf (KK) Bern-Carrasco-Johansson (BCJ) color-ordered gluon tree Kawai-Lewellen-Tye (KLT) relations.

参考文章(187)
L. Ferro, Yangian Symmetry in N=4 super Yang-Mills arXiv: High Energy Physics - Theory. ,(2011)
Geoffrey F. Chew, The analytic S matrix : a basis for nuclear democracy W. A. Benjamin. ,(1966)
Song He, Dhritiman Nandan, Congkao Wen, Note on Bonus Relations for N=8 Supergravity Tree Amplitudes Journal of High Energy Physics. ,vol. 2011, pp. 1- 20 ,(2011) , 10.1007/JHEP02(2011)005
S.-H. Henry Tye, Yang Zhang, Remarks on the identities of gluon tree amplitudes Physical Review D. ,vol. 82, pp. 087702- ,(2010) , 10.1103/PHYSREVD.82.087702
Yin Jia, Bo Feng, Mingxing Luo, Hui Luo, Roots of Amplitudes arXiv: High Energy Physics - Theory. ,(2011)
Michael E. Peskin, Simplifying Multi-Jet QCD Computation Presented at 13th Mexican School of Particles and Fields (MSPF 2008), San Carlos, Sonora, Mexico, 2-11 Oct 2008. ,(2011)
Freddy Cachazo, Paolo Benincasa, Consistency Conditions on the S-Matrix of Massless Particles arXiv: High Energy Physics - Theory. ,(2007)
Witten Edward, Parity Invariance For String In Twistor Space Advances in Theoretical and Mathematical Physics. ,vol. 8, pp. 779- 796 ,(2004) , 10.4310/ATMP.2004.V8.N5.A1