Integrability of scattering amplitudes in N = 4 SUSY
Integrability of scattering amplitudes in N = 4 SUSY
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N = 4 SUSY 中散射幅度的可积分性
DOI：
10.1088/1751-8113/42/30/304020
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
L. Lipatov
中科院分区：
文献类型：
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作者：
L. Lipatov
我们认为，在N = 4超对称性在大Nc和在多Regge运动学的某些物理区域的多粒子散射振幅具有高能量的行为对应于相应的t通道分波的Mandelivery削减的贡献。曼德尔维割对应于规范群SU（Nc）的伴随表象中的胶子复合态。这些状态的哈密顿量在领先的对数近似下与可积开自旋链的局部哈密顿量一致。我们构造相应的波函数，使用运动积分和Sklyanin的方法。
We argue that the multi-particle scattering amplitudes in N = 4 SUSY at large Nc and in the multi-Regge kinematics for some physical regions have the high energy behavior corresponding to the contribution of the Mandelstam cuts in the corresponding t-channel partial waves. The Mandelstam cuts correspond to gluon composite states in the adjoint representation of the gauge group SU(Nc). The Hamiltonian for these states in the leading logarithmic approximation coincides with the local Hamiltonian of an integrable open spin chain. We construct the corresponding wavefunctions using the integrals of motion and the Baxter–Sklyanin approach.