Unification of Gravity, Gauge and Higgs Fields by Confined Quantum Fields II -Effective Theory-

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 show that Einstein SO(N)-Yang-Mills Higgs theory is induced as a low energy effective theory of the system. Gravity, SO(N) gauge fields and Higgs fields are obtained from embedding functions of $M$.