Anomalous Effective Lagrangian and Theta Dependence in QCD at Finite N_c

Abstract

We generalize the large N_c Di Vecchia-Veneziano-Witten (VVW) effective chiral Lagrangian to the case of finite N_c 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/N_c 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 N_c is more complicated than the one predicted by the large N_c approach.

Changes in the presentation and discussion, formulas are unchanged. Latex, 7 pages, no figures

References in corpus (4)

• Chirally Symmetric Phase of Supersymmetric Gluodynamics
• More on Supersymmetric Domain Walls, N Counting and Glued Potentials
• Can Theta/N Dependence for Gluodynamics be Compatible with 2 pi Periodicity in Theta ?
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