Low Energy Description of Fermion Pairs in Topologically Massive QED$_{2+1}$ with $N$ Flavours

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, revtex, KAIST-CHEP-94/S3

Scientific paper

10.1016/0370-2693(94)01459-P

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 about 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 aquires the longitudinal mass. The approximate $SU(2)$ symmetry due to the similarity between the fermion pairs and the gauge field is discussed.

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