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The problem of computing the effective nonrelativistic potential $U_{D}$ forthe interaction of charged scalar bosons within the context of D-dimensionalelectromagnetism with a cutoff, is reduced to quadratures. It is shown that$U_3$ cannot bind a pair of identical charged scalar bosons; nevertheless,numerical calculations indicate that boson-boson bound states do exist in theframework of three-dimensional higher-derivative electromagnetism augmented bya topological Chern-Simons term.Comment: 6 page

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math>dimensions

Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories inDdimensions