论文标题
D4在BRST方法中的D4不可还原无质量自旋场的立方相互作用
Cubic interactions of d4 irreducible massless higher spin fields within BRST approach
论文作者
论文摘要
我们开发了一种构建明显的Lorentz协变量立方相互作用顶点的方法，该顶点为具有两个组分的点缀和未插入的旋转索引指数的四维无质量高旋转骨磁场。这样的领域自动满足了无缠结条件的简化形式，以确定具有给定的螺旋性的poincar'e群体的不可还原无质量表示。立方顶点是在BRST方法的较高自旋场理论的框架中提出的。使用上述旋转量字段允许简化BRST电荷的形式，因此仅根据不可约的较高的自旋场来找到立方顶点。我们得出一个立方顶点的方程式，并找到任意旋转的解决方案$ s_1，s_2，s_3 $，其衍生物$ s_1+s_1+s_2+s_3 $在顶点中。例如，我们明确构造了一个对应于较高自旋场与标量的相互作用的顶点。
We develop an approach to constructing the manifestly Lorentz covariant cubic interaction vertices for the four-dimensional massless higher spin bosonic fields with two-component dotted and undotted spinor indices. Such fields automatically satisfy the traceless conditions what simplify form of the equations determining the irreducible massless representation of the Poincar'e group with given helicity. The cubic vertex is formulated in the framework of the BRST approach to higher spin field theory. Use of the above spin-tensor fields allows to simplify a form of the BRST-charge and hence to find the cubic vertices just in terms of irreducible higher spin fields. We derive an equation for the cubic vertex and find solutions for arbitrary spins $s_1,s_2,s_3$ with the number of derivatives $s_1+s_2+s_3$ in the vertex. As an example, we explicitly construct a vertex corresponding to the interaction of a higher spin field with scalars.
