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

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2004-11-01

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Accioly, Antonio [UNESP]
Dias, Marco [UNESP]

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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 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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Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 70, n. 10, 2004.