My question is following "Why 5D gauge theory is non-renormalizable?" Here I treat $5D$ supersymmetric gauge theories.
Also I heard Non-renormalizablity of $5D$ gauge theories implies the singularities in instanton moduli space. How this can be possible? Can you give me a reliable explanation?
In the textbook of TASI 2009, section "Introduction to extra dimension" i can find the answer as follows.
They state that $5D$ or higher dimensional gauge coupling has a negative mass dimension, so the 5d or higher dimensional gauge theory is non-renormalizable.