Research investigates scaling dimension 2 in non-compact gauge theories using auxiliary fields, indicating gauge-invariance stability.
We investigate a new lattice regularization of gauge theories where gauge-invariance with non compact gauge fields is realizated by the help of auxiliary fields. For the gauge group SU(2) there is only one auxiliary field. We construct the complete action for scaling dimension 2 of this field. In this case the regularization ammounts to relax unitarity of the Wilson link variables, but has the same renormalization scale parameter showing the stability of Wilson's fixed point.
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M. et al. (1992) studied this question.
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