标题： Bargmann-Wigner 方法构造相对论场的推广 显示英文标题

标题： Generalization of the Bargmann-Wigner approach to constructing relativistic fields

摘要： 我们回顾了构造与 Bargmann-Wigner 波函数相对应的局部相对论场的方法，这些波函数描述了 $4D$ Poincaré 群的酉不可约表示。 该方法基于广义 Wigner 算符的使用，该算符连接诱导表示的波函数和局部相对论场。 考虑了此算符在构造质量有穷的局部相对论场、无质量螺旋性局部场以及无质量局部无限自旋场中的应用。 显示英文摘要

摘要： We review the method for constructing local relativistic fields corresponding to the Bargmann-Wigner wave functions that describe the unitary irreducible representations of the $4D$ Poincar\'{e} group. The method is based on the use of the generalized Wigner operator connecting the wave functions of induced representations and local relativistic fields. Applications of this operator for constructing massive local relativistic fields as well as massless helicity local fields and massless local infinite spin fields are considered.