论文标题
为Zinn-Justin和Batalin和Vilkoviski形式主义的反典型转化产生功能
Generating functions for anti-canonical transformations in the Zinn-Justin and Batalin and Vilkoviski formalisms
论文作者
论文摘要
通过BRST方法对量规场进行量化还需要源，除了字段外，还需要根据其定义的双线性抗支架。该支架是对经典力学中泊松支架的一种概括。规范变换也被普遍称为反典型转化。在本文中，我们通过展示如何从生成函数中得出抗传统变换来将其与经典力学相比。我们举例说明与哈密顿形式主义中QCD的重新归一化有关。
Quantization of gauge fields by the BRST method requires sources in addition to fields, and a bilinear anti-bracket defined in terms of them. This bracket is a sort of generalization of a Poisson bracket in classical mechanics. Canonical transformations are also generalized as anti-canonical transformations. In this paper, we take the analogy with classical mechanics one step further, by showing how anti-canonical transformations can be derived from generating functions. We give an example relevant to the renormalization of QCD in the Hamiltonian formalism.
