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Unification of Gravity, Gauge and Higgs Fields by Confined Quantum Fields-Mathematical Formulation-

Toshiki Isse
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Abstract

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 ($ϕ$). In this paper classical treatment of the system is given. We show that, especially when the fields have spin 1/2, the system is described by an infinite number of fields in $M$ interacting with $g$, $A$ and $ϕ$. The fields $g$, $A$ and $ϕ$ are induced themselves by embedding functions of $M$ and correspond respectively to induced metric, normal connection and extrinsic curvature of $M$.

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Toshiki Isse. 1992-11-02. Unification of Gravity, Gauge and Higgs Fields by Confined Quantum Fields-Mathematical Formulation-. https://doi.org/10.1142/s0217732393000878

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