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We find an exact general solution to the three-dimensional (3D) Ising modelvia an exact self-consistency equation for nearest-neighbors' correlations. Itis derived by means of an exact solution to the recurrence equations forpartial contractions of creation and annihilation operators for constrainedspin bosons in a Holstein-Primakoff representation. In particular, we calculateanalytically the total irreducible self-energy, the order parameter, thecorrelation functions, and the joined occupation probabilities of spin bosons.The developed regular microscopic quantum-field-theory method has a potentialfor a full solution of a long-standing and still open problem of 3D criticalphenomena.

Exact general solution to the three-dimensional Ising model and a self-consistency equation for the nearest-neighbors' correlations