One-loop calculations for a translation invariant non-commutative gauge model

In this paper we discuss one-loop results for the translation invariant non-commutative gauge field model we introduced recently. This model relies on the addition of some carefully chosen extra terms in the action which mix long and short scales in order to circumvent the infamous UV/IR mixing, and which were motivated by the renormalizable non-commutative scalar model of Gurau et al. [arXiv:0802.0791]. (orig.)