一个Riccati型PDE的光锋高螺旋度顶点
A Riccati type PDE for light-front higher helicity vertices
摘要：
本文是基于对一个与高自旋规范场的无痕约束有关的方程的一个奇怪的观察。该方程也出现在庞加莱群的连续自旋表示理论中。在更高自旋场的振子基中表示，方程成为作用于顶点函数的Riccati型非线性偏微分算子。在高自旋理论的光阵面公式中研究了立方顶点方程的后果。经典顶点是完全固定的，但有空间进行离壳量子修正。
英文摘要：
This paper is based on a curious observation about an equation related to the tracelessness constraints of higher spin gauge fields. The equation also occurs in the theory of continuous spin representations of the Poincaré group. Expressed in an oscillator basis for the higher spin fields, the equation becomes a non-linear partial differential operator of the Riccati type acting on the vertex functions. The consequences of the equation for the cubic vertex is investigated in the light-front formulation of higher spin theory. The classical vertex is completely fixed but there is room for off-shell quantum corrections.
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