On the quantization of pure gauge fields on coset space of abelian chiral group

Owing to the change of the path-integral measure for fermion fields under chiral transformation, an additional term (authors called it the chiral anomalous term) is added to the action of generating functional of the pure gauge fields theories on coset space of Abelian chiral group. The path-integral quantization of this theory is realized and the invariance of the generating functional under B.R.S. transformation is restored with the aid of the chiral anomalous term. By using the functional derivative technique, the Ward identities are also deduced, which are quite consistent with the classical CVC and PCAC equations