Authors: Moshe Wallace Callen
This discussion demonstrates a theorem that, if some hypothetical metric g for either field-space or spacetime exists which couples to spin-1/2 field/particles, one can define a class of four-indexed spin-1/2 fields with which the standard model gauge group is automatically associated due to topological and geometric considerations, regardless of the nature of the field equation by which any specific field is defined. Specifically, for this class of fields, which reduces to a physically equivalent unindexed field in flat space where the metric g reduces to the Minkowski metric, gauge transformations become exactly identified with covariant transformations under general reference frame transformations. This identification is used to construct a novel source of CP violation which may help to explain the degree to which the symmetry between matter and antimatter observed in the universe is broken. © 2009 Physics Essays Publication.
Comments: 16 Pages. Originally published Phys. Essays 22, 1 2009
[v1] 2012-05-13 21:56:47
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