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On the Gauge-invariant Functional Measure for Gauge Fields on CP^2
We introduce a general parametrization for nonabelian gauge fields on the
four-dimensional space . The volume element for the
gauge-orbit space or the space of physical configurations is then investigated.
The leading divergence in this volume element is obtained in terms of a higher
dimensional Wess-Zumino-Witten action, which has previously been studied in the
context of K\"ahler-Chern-Simons theories. This term, it is argued, implies
that one needs to introduce a dimensional parameter to specify the integration
measure, a step which is a nonperturbative version of the well-known
dimensional transmutation in four-dimensional gauge theories.Comment: 16 pages, affiliation added, typos correcte
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