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Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories in D dimensions

Antonio Accioly·Marco Dias
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Abstract

The problem of computing the effective nonrelativistic potential $U_{D}$ 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 $U_3$ 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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Antonio Accioly, Marco Dias. 2004-12-14. Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories in D dimensions. https://doi.org/10.1103/physrevd.70.107705

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