arXiv subjects

Toshiki Isse

Publications and source records attributed to Toshiki Isse.

3 recordsLinked to original sources

arXiv1993

The Stability of the Minisuperspace

The stability of the minisuperspace model of the early universe is studied by solving the Wheeler-DeWitt equation numerically. We consider a system of Einstein gravity with a scalar field. When we solve the Wheeler-DeWitt equation, we pick up some inhomogeneous wave modes from the infinite number of modes adequately: degrees of freedom of the superspace are restricted to a finite one. We show that the minisuperspace is stable when a scale factor ($a$) of the universe is larger than a few times of the Planck length, while it becomes unstable when $a$ is comparable to the Planck length.

gr-qc↗

arXiv1992

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 $M$.

hep-th↗

arXiv1992

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

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 $M$.

hep-th↗