# Why 5D gauge theory is non-renormalizable?

1. My question is following "Why 5D gauge theory is non-renormalizable?" Here I treat $5D$ supersymmetric gauge theories.

2. 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?

• Can you cite a reference for 5D non-renormalizability? arxiv.org/abs/hep-th/0305208 indicates non-renormalizability is known to be true only for six dimensions and higher. – ACuriousMind Mar 4 '15 at 17:02
• You can find relevant material in first about page 11. and there is some comments on second – phy_math Mar 4 '15 at 17:07

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.