2002/08/31 by Xiao-Gang He, Bruce H. McKellar, Bruce H.J. McKellar · 4 citations
Physics and Astronomy · #Anomalous magnetic dipole moment #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Scalar (mathematics) #Scalar boson #Scalar field #Scalar potential #Spinor #Supersymmetry #Topological Materials and Phenomena #hep-ph #hep-th #quant-ph
paper · pdf · open access · doi:10.1016/s0370-2693(03)00245-4
published in Physics Letters B 559(3-4), 263-269 (Elsevier BV) · RevTex 13 pages including one Figure. New Discussions added
arxiv created 2003/02/18 · openalex publication_date 2003/04/23 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The original topological Aharonov–Casher (AC) effect is due to the interaction of the anomalous magnetic dipole moment (MDM) with certain configurations of electric field. Naively one would not expect an AC effect for a scalar particle for which no anomalous MDM can be defined in the usual sense. In this Letter we study the AC effect in supersymmetric systems. In this framework there is the possibility of deducing the AC effect of a scalar particle from the corresponding effect for a spinor particle. In 3+1 dimensions such a connection is not possible because the anomalous MDM is zero if supersymmetry is an exact symmetry. However, in 2+1 dimensions it is possible to have an anomalous MDM even with exact supersymmetry. Having demonstrated the relationship between the spinor and the scalar MDM, we proceed to show that the scalar AC effect is uniquely defined. We then compute the anomalous MDM at the one-loop level, showing how the scalar form arises in 2+1 dimensions from the coupling of the scalar to spinors. This model shows how an AC effect for a scalar can be generated for non-supersymmetric theories, and we construct such a model to illustrate the mechanism