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A self-consistent strategy is proposed to complete in a renormalizationscheme independent way the dynamical generation of Quark-Level Linear SigmaModel like Lagrangean theories beyond one loop like the theories of strong andelectroweak interactions. The present discussion refers for simplicity toscalar and pseudoscalar degrees of freedom only while disregarding yet -without loss of generality - vector and axial vector degrees of freedom.Moreover points the discussion to approximations underlying dimensional andimplicit regularization as presently used.

On how to complete the Dynamical Generation of Quark-Level Linear Sigma Model like Theories beyond one Loop