A Unified Gravity-Electroweak Model Based on a Generalized Yang-Mills Framework

Abstract

Gravitational and electroweak interactions can be unified in analogy with the unification in the Weinberg-Salam theory. The Yang-Mills framework is generalized to include space-time translational group T(4), whose generators $T_μ(=\p/\p x^μ)$ do not have constant matrix representations. By gauging $T(4)\times SU(2)\times U(1)$ in flat space-time, we have a new tensor field ${\varphi }_{\mu \nu }$ which universally couples to all particles and anti-particles 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 space-time reduce to a Hamilton-Jacobi equation with the same `effective Riemann metric tensor' in the geometric-optics limit. Consequently, the results are consistent with experiments. We demonstrated that the T(4) gravitational gauge field can be quantized in inertial frames.

12 pages. To be published in "Modern Physics Letters A"

References in corpus (2)

• Yang-Mills Gravity in Flat Space-Time, I. Classical Gravity with Translation Gauge Symmetry
• Yang-Mills Gravity in Flat Space-time, II. Gravitational Radiations and Lee-Yang Force for Accelerated Cosmic Expansion

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