QUANTUM CORRECTIONS EFFECT ON THE COUPLING OF THE GRAVITATIONAL AND SCALAR FIELDS AND SPONTANEOUSLY INDUCED GRAVITY
Gravity induced by the spontaneous symmetry breaking in gauge theories is studied. All calculations are carried out with an accuracy provided by the one-loop approximation. It appears that in an effective potential of the scalar field φ a parameter ε of a nonminimal coupling of φ with a curvature is a function of φ. Under zero energy density of the stable vacuum <φ>0 = µ it is proved that the induced gravitational constant G ind is finite only if µε′(µ) = −2ε(µ). Hence it follows that if gravity is induced indeed then its theory necessarily has the structure of the Einstein's theory for gravitation: G ind is positive and invariable (at zero temperature). Within the limitations imposed by the model, the T-dependence of G ind is exponentially relaxed.