a Unified GravityElectroweak Model Based on a Generalized YangMills Framework
Abstract
Gravitational and electroweak interactions can be unified in analogy with the unification in the WeinbergSalam theory. The YangMills framework is generalized to include spacetime translational group T(4), whose generators T_{μ} ( = ∂/∂x^{μ}) do not have constant matrix representations. By gauging T(4) × SU(2) × U(1) in flat spacetime, we have a new tensor field ϕ_{μν} which universally couples to all particles and antiparticles with the same constant g, which has the dimension of length. In this unified model, the T(4) gauge symmetry dictates that all wave equations of fermions, massive bosons and the photon in flat spacetime reduce to a HamiltonJacobi equation with the same "effective Riemann metric tensor" in the geometricoptics limit. Consequently, the results are consistent with experiments. We demonstrated that the T(4) gravitational gauge field can be quantized in inertial frames.
 Publication:

Modern Physics Letters A
 Pub Date:
 2011
 DOI:
 10.1142/S021773231103619X
 arXiv:
 arXiv:1106.2121
 Bibcode:
 2011MPLA...26.1707H
 Keywords:

 Unified model;
 gravityelectroweak;
 generalized YangMills framework;
 effective Riemann metric tensor;
 04.20.Cv;
 Fundamental problems and general formalism;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 12 pages. To be published in "Modern Physics Letters A"