Fundamentals on the noncommutative plane

We consider the addition of charged matter ("fundametals") to noncommutativ e Yang-Mills theory and noncommutative QED, derive Feynman rules and tree-l evel potentials for them, and study the divergence structure of the theory. These particles behave very much as they do in the commutative theory, exc ept that (1) they occupy bound-state wavefunctions which are essentially th ose of charged particles in magnetic fields, and (2) there is slight moment um nonconservation at vertices. There is no reduction in the degree of dive rgence of charged fermion loops like that which affects nonplanar noncommut ative Yang-Mills diagrams.