The 't Hooft six quark flavor mixing interaction (N_f=3) is bosonized by the
path integral method. The considered complete Lagrangian is constructed on the
basis of the combined 't Hooft and U(3)X U(3) extended chiral four fermion
Nambu-Jona-Lasinio interactions. The method of the steepest descents is used to
derive the effective mesonic Lagrangian. Additionally to the known lowest order
stationary phase (SP) result of Reinhardt and Alkofer we obtain the
contribution from the small quantum fluctuations of bosonic configurations
around their stationary phase trajectories. It affects the vacuum state of
hadrons at low energies: whereas without the inclusion of quantum fluctuations
the vacuum is uniquely defined for a fixed set of the model parameters,
fluctuations give rise to multivalued solutions of the gap equations, marked at
instances by drastic changes in the quark condensates. We derive the new gap
equations and analyse them in comparison with known results. We classify the
solutions according to the number of extrema they may accomodate. We find up to
four solutions in the 0<m_(u,s)<3$ GeV region.Comment: RevTex, 9 pages, 8 figures, slightly modified introduction, one added
reference and added acknowledgements, version accepted in Phys. Lett.
