Authors: Julian Brown
We present a novel formulation of particle physics that dispenses with space-time derivative operators in favour of null cone integrations. It is shown that the loss of locality incurred is compensated by gains in con- ceptual and mathematical simplicity, the absence of non-physical gauge degrees of freedom and the concomittant complications of ghosts etc.. Central to the formulation is a dimensionless homologue of the Lagrangian density, formed from integrals of scalar product terms over null cones. In- stead of covariant derivatives, the gauge fields are represented by rotations over the simple product of the internal and Lorentz symmetry groups. We demonstrate that application of a variational principle to this quasi-action functional yields essentially the same equations of motion as the SM. As a consequence of the enlarged symmetry group, the primordial electroweak Higgs field is shown to be the origin of all bosonic degrees of freedom, not just the Goldstone modes, prior to the symmetry breaking that reduces it to an isospin carrying scalar. Although this paper is restricted to considerations of leptons and the elec- troweak SU (2) L × U (1) Y symmetry group, the extension of the method to quarks and SU (3) C ⊂ SO(10) would appear to be straightforward and will be the subject of a subsequent paper.
Comments: 7 Pages. This is a work in progress.
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