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arXiv · 1610.01429

One-loop structure of the U(1) gauge model on the truncated Heisenberg space

Maja Burić·Luka Nenadović·Dragan Prekrat
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Abstract

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 $\Box^{-1}$ and $\Box^{-2}$ type. We discuss the meaning of these terms and possible improvements of the model.

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Maja Burić, Luka Nenadović, Dragan Prekrat. 2016-10-05. One-loop structure of the U(1) gauge model on the truncated Heisenberg space. https://doi.org/10.1140/epjc%2Fs10052-016-4522-x

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