Anomalous Effective Lagrangian and Theta Dependence in QCD at Finite Nc
Igor Halperin, Ariel Zhitnitsky
Abstract
We generalize the large Nc Di Vecchia-Veneziano-Witten (VVW) effective chiral Lagrangian to the case of finite Nc by constructing the anomalous effective Lagrangian for QCD. The latter is similar to its SUSY counterpart, and has a holomorphic structure. The VVW construction is then recovered, along with 1/Nc corrections, after integrating out the heavy "glueball" fields. A new mass formula for eta' meson in terms of QCD condensates is obtained. The picture of theta dependence in QCD for finite Nc is more complicated than the one predicted by the large Nc approach.
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