An alternative formalism for generating pre-Higgs ${SU}{(2)}_{L}\otimes U{(1)}_{Y}$ electroweak unification that intrinsically accommodates SU(2) left-chiral asymmetry

Abstract

The technology which generated intrinsically local gauge invariant and chirally symmetric U 1 EM ( ) and SU 3 c ( ) Lagrangians is extended to include an intrinsically local gauge invariant, left-chiral SU 2 L ( ) Lagrangian for three massless vector gauge fields, thereby internally accommodating the phenomenon that only left-chiral Dirac fields interact via the W m gauge field. Pre-Higgs mechanism( ) electroweak unification is also shown to be a natural consequence of the formalism. The formalism's relation to the Poincaré group is also touched upon.

The underlying geometry of the CAM gauge model of the Standard Model of particle physics

“…The theory has proven to be a successful alternative to Yang-Mills (YM) gauge theory for generating the SM pre-Higgs left-chiral electroweak and quantum chromodynamic Lagrangians in intrinsic local gauge symmetric form. [1][2][3][4][5] CAM's current additional successes include intrinsic accommodation of chiral asymmetry for SU (2), 2 natural provision of a noninteractive right-chiral neutrino, 2 imposition of experimentally verified phenomenological constraints on gauge mediated proton decay, 5 and introduction of a Higgs-like field intrinsically coupled to the space-time continuum. 95 What is interesting about these theoretic successes is that each evidences qualitative and quantitative differences between the CAM and YM models.…”

“…c The motivation for this postulate is immediately evident upon inspection of the CAM operators in Table 1, used for generating the U (1), SU (2), SU (2) ⊗ U (1) and SU (3) Lagrangians. [1][2][3][4][5] b The CAM gauge model is an alternative to Yang-Mills theory for generating the Standard Model Lagrangian of elementary-particle physics (Ref. [1][2][3][4][5] and Sec.…”

“…11,16,17,64 (M, η) induces three structures in T p M which play a pivotal part in CAM's SU (2) ⊗ U (1) fiber bundle makeup, to wit (1) the Levi-Civita connection ∇ η , 21,24,31 (2) the Clifford algebra Cl 1,3 , 27-30 and (3) CAM's operator set Ω ≡ {η, ∂}. 1,2 CAM fiber bundle theory exploits this tripartite internal space-time structure for its theoretical construction.…”

“…and for which both the curvature tensor R(e µ , e ν ) and torsion tensor T (e µ , e ν ) vanish on M. (M, η µν ) induces the Clifford algebra Cl 1,3 via generation of the basis elements {γ µ } through the anticommutation relation: 2,14,17,28 {γ µ , γ ν } = 2η µν .…”

“…For instance, 1Ψ + γ µ B µ + λγ j γ k and The underlying geometry of the CAM gauge model 4.1.3. The operator set Ω ≡ {η, ∂} Using ∇ ∂µ and Cl 1,3 , the CAM operators 1,2 ∂ = ∂/∂t + i∂/∂x + j∂/∂y + k∂/∂z (10) and…”