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

• Main Authors: Burić, Maja, Nenadović, Luka, Prekrat, Dragan
• Format: Journal Article
• Language: English
• Published: 05-10-2016
• Subjects: Physics - High Energy Physics - Theory
• DOI: 10.48550/arxiv.1610.01429

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.