  We construct a $d$-dimensional Eddy Damped Quasi-Normal Markovian (EDQNM)
Closure Model to study dynamo action in arbitrary dimensions. In particular, we
find lower $d_L$ and upper $d_U$ critical dimensions for sustained dynamo
action in this incompressible problem. Our model is adaptable for future
studies incorporating helicity, compressible effects and a wide range of
magnetic Reynolds and Prandtl numbers.
