Finite Higher-Dimensional Unified Field Theory and TeV Physics

Abstract

A unified field theory based on the compactification of a higher D-dimensional Einstein-Yang-Mills-Higgs action is developed. The extra D-4 dimensions form a compact internal space with scale size R. An anomaly-free unified chiral model of quarks and leptons, described by SO(18) in twelve dimensions, breaks down to $SO(10)\times SO(8)\to SO(10)$ with a non-trivial topological structure and three chiral families in four dimensions. A quantum field theory formalism in D-dimensions leads to a self-consistent, finite quantum gravity, Yang-Mills and Higgs theory, which is unitary and gauge invariant to all orders of perturbation theory. The gauge hierarchy problem is solved due to the exponential damping of the Higgs self-energy loop graph for energies greater than $\sim 1$ TeV, and because of the reduction of quantum gravity to a scale of several TeV. The compactification scale is $M_c\geq 1$ TeV, leading to Kaluza-Klein excitations and experimental signatures at a scale of several TeV. Various scenarios for evading fast proton decay are discussed.