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In the 5-dimensional twisted $U(1)$-like gauge theory on $\kappa$-Minkowski,the one-loop one-point (tadpole) function was computed in arXiv:2107.14462.This article summarizes the construction of such a gauge theory and discussesthe non-vanishing of the tadpole.

Quantum properties of $U(1)$-like gauge theory on $\kappa$-Minkowski