The semiclassical approximation for the partition function in Chern-Simons gauge theory is derived using the invariant integration method. Volume and scale factors which were undetermined and had to be fixed by hand in previous derivations are automatically taken account of in this framework. Agreement with Witten's exact expressions for the partition function in the weak coupling (large k) limit is verified for gauge group SU(2) and spacetimes S-3, S-2 x S-1, S-1 x S-1 x S-1 and L(p,q). (C) 1998 Elsevier Science B.V. References: 21
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机译：Chern-Simons规范理论中分配函数的半经典近似是使用不变积分方法推导的。在以前的推导中无法确定且必须手动确定的体积和比例因子在此框架中会自动考虑。验证了规范群 SU（2） 和时空 S-3、S-2 x S-1、S-1 x S-1 x S-1 和 L（p，q） 弱耦合（大 k）极限中分配函数的 Witten 精确表达式的一致性。（c） 1998 Elsevier Science B.V. [参考文献： 21]
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