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

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

2004-12-14

arxiv.org/abs/hep-th/0412144v1

Phys.Rev. D70 (2004) 107705

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1103/PhysRevD.70.107705

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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