Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories in D dimensions
Abstract
The problem of computing the effective nonrelativistic potential UD for the interaction of charged scalar bosons within the context of D-dimensional electromagnetism with a cutoff, is reduced to quadratures. It is shown that U3 cannot bind a pair of identical charged scalar bosons; nevertheless, numerical calculations indicate that boson-boson bound states do exist in the framework of three-dimensional higher-derivative electromagnetism augmented by a topological Chern-Simons term.
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