论文标题
标量字段的轻孔量化a在时间相关背景上
Light-Cone Quantization a of Scalar Field on Time-Dependent Backgrounds
论文作者
论文摘要
我们讨论什么是弯曲的时空上的轻单量化，也没有杀死载体。然后，我们以杀伤向量的背景上的标量字段的轻态量化为例，以及与粒子在相同背景中的第二个量化的连接。事实证明，定义轻锥量化的正确方法是要求恒定的轻度时间超出表面为无效，或者等效地，粒子哈密顿量没有方形根。此外，为了量化标量理论，必须不是使用原始标量，而是标量场密度，即schrödinger波函数取决于标量密度，而不是原始场。最后，我们将此结果恢复为在相同背景上对粒子的第二个量化，在这种情况下，有必要添加我们正在处理标量密度的事实。
We discuss what is light-cone quantization on a curved spacetime also without a null Killing vector. Then we consider as an example the light-cone quantization of a scalar field on a background with a Killing vector and the connection with the second quantization of the particle in the same background. It turns out that the proper way to define the light-cone quantization is to require that the constant light-cone time hypersurface is null or, equivalently, that the particle Hamiltonian is free of square roots. Moreover, in order to quantize the scalar theory it is necessary to use not the original scalar rather a scalar field density, i.e. the Schrödinger wave functional depends on a scalar density and not on the original field. Finally we recover this result as the second quantization of a particle on the same background, where it is necessary to add as input the fact that we are dealing with a scalar density.
