论文标题
自由标量场的多谐绿色功能和非本地BMS转换
Polyharmonic Green Functions and Nonlocal BMS Transformations of a Free Scalar Field
论文作者
论文摘要
我们以2+1的形式表达了自由无质量的klein-gordon标量场的非局部BMS电荷，该电荷就多谐操作员的绿色功能而言。使用这些绿色函数的特性，我们能够讨论确保电荷存在的田地的渐近行为，并证明人们在规范相空间中获得了2+1 BMS代数的实现。我们还讨论了配置空间中的转换，并表明在这种情况下，代数仅关闭运动方程的偏度对称组合。从绿色功能方面，指控的表述为形式主义对其他维度和系统的概括开辟了道路。
We express the nonlocal BMS charges of a free massless Klein-Gordon scalar field in 2+1 in terms of the Green functions of the polyharmonic operators. Using the properties of these Green functions, we are able to discuss the asymptotic behaviour of the fields that ensures the existence of the charges, and prove that one obtains a realization of the 2+1 BMS algebra in canonical phase space. We also discuss the transformations in configuration space, and show that in this case the algebra closes only up to skew-symmetric combinations of the equations of motion. The formulation of the charges, in terms of Green functions, opens the way to the generalization of the formalism to other dimensions and systems.
