Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories inDdimensions
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology2004Vol. 70(10)
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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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