Abstract
Conventional non-Abelian SO(4) gauge theory describes gravity if the gauge field possesses the specific polarised vacuum state. In this vacuum the instantons and anti-instantons have a preferred direction of orientation. Their orientation plays a role of the order parameter for the polarised phase of the gauge field. The interaction of a weak and smooth gauge field with the polarised vacuum is described by an effective long-range action which is identical to the Hilbert action of general relativity. In the classical limit this action results in the Einstein equations of general relativity. Gravitational waves appear as the mode describing propagation of gauge field which strongly interacts with the oriented instantons. The Newton gravitational constant describes the density of the considered phase of the gauge field. The radius of the instantons under consideration is comparable with the Planck radius.