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An emergence of magnetic boson of instantonic nature, that provides aCooper-'pairing glue', is considered in the repulsive 'nested' Hubbard model ofsuperconducting cuprates. It is demonstrated, that antiferromagnetic instantonsof a spin density wave type may have negative energy due to coupling withCooper pair condensate. A set of Eliashberg-like equations is derived andsolved self-consistently, proving the above suggestion. An instantonicpropagator plays the role of Green function of pairing 'glue' boson.Simultaneously, the instantons defy condensation of the mean-field SDW order.We had previously demonstrated in analytical form \cite{2,3,4} that periodicchain of instanton-anti-instanton pairs along the axis of Matsubara time haszero scattering cross section for weakly perturbing external probes, likeneutrons, etc., thus representing a 'hidden order'. Hence, the two competingorders, superconducting and antiferromagnetic, may coexist (below some Tc) inthe form of mean-field superconducting order, coupled to 'hidden'antiferromagnetic one. This new picture is discussed in relation with themechanism of high temperature superconductivity.

Negative energy antiferromagnetic instantons forming Cooper-pairing "glue" and "hidden order" in high-Tc cuprates