Low energy description of fermion pairs in topologically massive QED 2+1 with N flavours

Abstract

In topologically massive QED 2+1 with N flavours, there is the possibility that two equal-charged fermions can form a bound state pair in either s-wave or p-wave. We are concerned with the s-wave pairs and obtain the low energy effective action describing them. It is shown that the fermion pairs behave like doubly charged spin 1 bosons and, when they condense, the gauge field acquires the longitudinal mass. The approximate SU ( 2) symmetry due to the similarity between the fermion pairs and the gauge field is discussed.