Harmonic R matrices for scattering amplitudes and spectral regularization.
Harmonic R matrices for scattering amplitudes and spectral regularization.
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用于散射幅度和谱正则化的谐波 R 矩阵
DOI：
10.1103/physrevlett.110.121602
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发表时间：
2013
影响因子：
8.6
通讯作者：
Matthias Staudacher
中科院分区：
文献类型：
--
作者：
Livia Ferro;Tomasz Łukowski;Carlo Meneghelli;Jan Plefka;Matthias Staudacher
平面超对称杨-米尔斯理论似乎是可积的。虽然这使得人们可以找到这个理论的精确频谱，但可积性迄今为止还没有直接用于散射振幅。为了弥补这一点，我们变形的光谱参数的所有散射振幅。变形的树级四点函数本质上是满足Yang-Baxter方程的可积销链的单圈矩阵。变形的壳上三点函数产生新的三脚矩阵满足自助方程。最后，我们提供初步的证据表明，谱参数可能会发现它的使用作为一种新的尊重监管机构取代维正则化。它的物理意义是粒子螺旋性的局部变形，这一事实可能对更大类不可积四维场论有用。
Planarsupersymmetric Yang-Mills theory appears to be integrable. While this allows one to find this theory’s exact spectrum, integrability has hitherto been of no direct use for scattering amplitudes. To remedy this, we deform all scattering amplitudes by a spectral parameter. The deformed tree-level four-point function turns out to be essentially the one-loopmatrix of the integrablespin chain satisfying the Yang-Baxter equation. Deformed on-shell three-point functions yield novel three-legmatrices satisfying bootstrap equations. Finally, we supply initial evidence that the spectral parameter might find its use as a novel symmetry-respecting regulator replacing dimensional regularization. Its physical meaning is a local deformation of particle helicity, a fact which might be useful for a much larger class of nonintegrable four-dimensional field theories.