Grand unification using a generalized Yang-Mills theory
نویسنده
چکیده
Generalized Yang-Mills theories have a covariant derivative that employs both scalar and vector bosons. Here we show how grand unified theories of the electroweak and strong interactions can be constructed with them. In particular the SU(5) GUT can be obtained from SU(6) with SU(5)xU(1) as a maximal subgroup. The choice of maximal subgroup also determines the chiral structure of the theory. The resulting Lagrangian has only two terms, and only two irreducible representations are needed, one for fermions and another for bosons.
منابع مشابه
An Introduction to Generalized Yang-Mills Theories
In generalized Yang-Mills theories scalar fields can be gauged just as vector fields in a usual Yang-Mills theory, albeit it is done in the spinorial representation. The presentation of these theories is aesthetic in the following sense: A physical theory using Yang-Mills theories requires several terms and irreducible representations, but with generalized Yang-Mills theories, only two terms an...
متن کاملA Chern-simons E8 Gauge Theory of Gravity in D = 15, Grand Unification and Generalized Gravity in Clifford Spaces
A novel Chern-Simons E8 gauge theory of Gravity in D = 15 based on an octic E8 invariant expression in D = 16 (recently constructed by Cederwall and Palmkvist) is developed. A grand unification model of gravity with the other forces is very plausible within the framework of a supersymmetric extension (to incorporate spacetime fermions) of this Chern-Simons E8 gauge theory. We review the constru...
متن کاملThe Clifford Space Geometry of Conformal Gravity and U(4)× U(4) Yang-Mills Unification
It is shown how a Conformal Gravity and U(4)×U(4) Yang-Mills Grand Unification model in four dimensions can be attained from a Clifford Gauge Field Theory in C-spaces (Clifford spaces) based on the (complex) Clifford Cl(4, C) algebra underlying a complexified four dimensional spacetime (8 real dimensions). Upon taking a real slice, and after symmetry breaking, it leads to ordinary Gravity and t...
متن کاملThe Standard Model and the Generalized Covariant Derivative
The generalized covariant derivative, that uses both scalar and vector bosons, is defined. It is shown how a grand unified theory of the Standard Model can be constructed using a generalized Yang-Mills theory. 1 The generalized covariant derivative Last year the authors developed a generalized Yang-Mills theory (GYMT) that used a covariant derivative that included not only vector bosons but sca...
متن کاملSUSY Yang - Mills be Reconsidered as a Family Unification Model ?
We review earlier proposals for E8 family unification, and discuss why recent work of Kovner and Shifman on condensates in supersymmetric YangMills theories suggests the reconsideration of E8 supersymmetric Yang-Mills as a family unification theory.
متن کامل