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Gauge theories can be described by assigning a vector space V(x) to eachspace time point x. A common set of complex numbers, C, is usually assumed tobe the set of scalars for all the V{x}. This is expanded here to assign aseparate set of scalars, C{x}, to V{x} for each x. The freedom of choice ofbases, expressed by the action of a gauge group operator on the V{x}, isexpanded here to include the freedom of choice of complex scale factors,c_{y,x}, as elements of GL(1,C) that relate C{y} to C{x}. A gauge fieldrepresentation of c_{y,x} gives two gauge fields, A(x) and iB(x). Inclusion ofthese fields in the covariant derivatives of Lagrangians results in A(x)appearing as a gauge boson for which mass is optional and B(x) as a masslessgauge boson. B(x) appears to be the photon field. The nature of A(x) is notknown at present. One does know that the coupling constant of A(x) to matterfields is very small compared to the fine structure constant.

New Gauge Fields from Extension of Parallel Transport of Vector Spaces to Underlying Scalar Fields