一种自对偶理论的规范不变形式及其量子化

A GAUGE INVARIANT VERSION OF SELF-DUAL THEORIES AND ITS QUANTIZATION

对于一种新提出的自对偶场与规范场耦合的拉氏理论,本文给出相应的单上闭链,即Wess-Zumino项,构造了这种理论的规范不变的形式。利用正则量子化方法并通过选取适当的规范固定条件,证明了这规范不变的形式等价于原来的规范非不变的形式。此外,利用Batalin-Fradkin-Vilkovisky量子化方法,进一步指出这种等价性与规范固定条件的选择是无关的。

For a newly proposed Lagrangian of self-dual fields interacting with gauge fields, we cal-culate its one-cocycle condition, i.e. Wess-Zum ino term, and construct its gauge invariant ver-sion. Through canonical quantization we show that the gauge invariant theory in a proper gauge-fixing is equivalent to its gauge noninvarianr version. Moreover, by using the Baralin-Fradkin-Vilkovisky formalism, we point out that the equivalence is gauge independent.