UNIFICATION OF GRAVITY, GAUGE AND HIGGS FIELDS BY CONFINED QUANTUM-FIELDS

Dynamics of quantized free fields (of spin 0 and 1/2) contained in a subspace V* of an N+4 dimensional flat space V is studied. The space V,is considered as a neighborhood of a four dimensional submanifold M arbitrarily embedded into V. We study the system as a simple model of unified theory of gravity (g), SO(N) gauge fields (A) and Higgs fields (phi). We show that Einstein SO(N)-Yang-Mills Higgs theory is induced as a low energy effective theory of the system. The fields g, A and phi are induced themselves by embedding functions of M and correspond respectively to induced metric, normal connection and extrinsic curvature of M.