Abstract
By involving the group indices of an SU(2) gauge theory in three Euclidean dimensions in the Lorentz transformation, one finds that the gauge field can be decomposed into a scalar, vector and tensor field which mix under a gauge transformation. It is shown how this gauge field can be coupled to an O(3) spinor field whose transformation properties allow one to decompose it into a fermionic scalar and a fermionic vector field. Radiative corrections must be done in a way that respects the dimensionality of the theory; it is demonstrated how operator regularization can be used to this end by computing the temperature dependence of the η function arising from spinors.
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