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Finite temperature instantons between meta-stable vacua of correlatedelectronic system are solved analytically for quasi one-dimensional Hubbardmodel. The instantons produce dynamic symmetry breaking and connect metallicstate with the dual vacua: superconducting (SC) and spin-density wave (SDW)states. The instantons spread along the Matsubara's imaginary time and possessthe structure similar to the coordinate-space solitonic lattices previouslydiscovered in quasi one-dimensional Peierls model. On the microscopic level theinter-vacua excursion is described by mutual transformations between the"resonating quartets" of the couples of electron-hole and Cooper pairs.Spectral properties of the electrons in the "instantonic crystal" revealpseudo-gap (PG) behavior, with finite fermionic density of states in the centerof the PG and ``flat-band'' outside of it. Analytically derived inversetemperature scaling of the pseudo-gap and the densities of the SC and SDWcondensates is discussed in the context of ARPES and STM data in high-Tccuprates.

Instanton sector of correlated electron systems as the origin of populated pseudo-gap and flat "band" behavior: analytic solution