Regular Article - Theoretical Physics
One-loop structure of the U(1) gauge model on the truncated Heisenberg space
Faculty of Physics, University of Belgrade, P.O. Box 44, 11001, Belgrade, Serbia
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Accepted: 16 November 2016
Published online: 5 December 2016
We calculate divergent one-loop corrections to the propagators of the U(1) gauge theory on the truncated Heisenberg space, which is one of the extensions of the Grosse–Wulkenhaar model. The model is purely geometric, based on the Yang–Mills action; the corresponding gauge-fixed theory is BRST invariant. We quantize perturbatively and, along with the usual wave-function and mass renormalizations, we find divergent nonlocal terms of the and type. We discuss the meaning of these terms and possible improvements of the model.
© The Author(s), 2016