Yang–Baxter operators and scattering amplitudes in N=4 super-Yang–Mills theory

作者: D. Chicherin , S. Derkachov , R. Kirschner

DOI: 10.1016/J.NUCLPHYSB.2014.02.016

关键词:

摘要: Abstract Yangian symmetry of amplitudes in N = 4 super-Yang–Mills theory is formulated terms eigenvalue relations for monodromy matrix operators. The Quantum Inverse Scattering Method provides the appropriate tools to treat extended and recover as its consequences many known features like cyclic inversion symmetry, BCFW recursion, Soft Limit construction, Grassmannian integral representation, R-invariants on-shell diagram approach.

参考文章(64)
V.E. Korepin, A.G. Izergin, Quantum inverse scattering method Sov. J. Particles Nucl. (Engl. Transl.); (United States). ,(1982)
Henriette Elvang, Michael Kiermaier, Michael Kiermaier, Daniel Z. Freedman, Recursion relations, generating functions, and unitarity sums in N=4 SYM theory Journal of High Energy Physics. ,vol. 2009, pp. 009- 009 ,(2009) , 10.1088/1126-6708/2009/04/009
P. P. Kulish, E. K. Sklyanin, Quantum spectral transform method recent developments Integrable Quantum Field Theories. ,vol. 151, pp. 61- 119 ,(1982) , 10.1007/3-540-11190-5_8
V.G. Drinfeld, A New realization of Yangians and quantized affine algebras Sov.Math.Dokl.. ,vol. 36, pp. 212- 216 ,(1987)
V. G. DRINFEL'D, Hopf algebras and the quantum Yang-Baxter equation Proceedings of the USSR Academy of Sciences. ,vol. 32, pp. 254- 258 ,(1985) , 10.1142/9789812798336_0013
Benjamin I Zwiebel, From scattering amplitudes to the dilatation generator in N = 4 SYM Journal of Physics A. ,vol. 45, pp. 115401- ,(2012) , 10.1088/1751-8113/45/11/115401
Song He, Tristan McLoughlin, On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM Journal of High Energy Physics. ,vol. 2011, pp. 116- ,(2011) , 10.1007/JHEP02(2011)116
Ruth Britto, Freddy Cachazo, Bo Feng, Edward Witten, Direct proof of the tree-level scattering amplitude recursion relation in Yang-mills theory. Physical Review Letters. ,vol. 94, pp. 181602- ,(2005) , 10.1103/PHYSREVLETT.94.181602
Jacob L. Bourjaily, Jaroslav Trnka, Freddy Cachazo, Alexander Postnikov, Alexander B. Goncharov, Nima Arkani-Hamed, Scattering Amplitudes and the Positive Grassmannian arXiv: High Energy Physics - Theory. ,(2012) , 10.14288/1.0043020
Niklas Beisert, Matthias Staudacher, The N=4 SYM integrable super spin chain Nuclear Physics. ,vol. 670, pp. 439- 463 ,(2003) , 10.1016/J.NUCLPHYSB.2003.08.015