Anomalous magnetic moment of anyons in three dimensional CP−1 model

Hong, Deog Ki; Kim, Jin Young

doi:10.1016/0370-2693(96)00742-3

Cited by 6 publications

(1 citation statement)

References 28 publications

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“…[19], about SQM (but without the superfield formulation used here), and Refs. [34,35,36,37,38], with general arguments concerning particles in (2+1) dimensions.…”

Section: N=1-sqmmentioning

confidence: 99%

Planar supersymmetric quantum mechanics of a charged particle in an external electromagnetic field

2006

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“…[19], about SQM (but without the superfield formulation used here), and Refs. [34,35,36,37,38], with general arguments concerning particles in (2+1) dimensions.…”

Section: N=1-sqmmentioning

confidence: 99%

Planar supersymmetric quantum mechanics of a charged particle in an external electromagnetic field

2006

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Off-critical correlations in the Ashkin-Teller model

Delfino

1999

Physics Letters B

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Pauli's term and fractional spin

Nobre

Almeida

1999

Physics Letters B

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In this work we consider an Abelian Chern-Simons-Higgs model coupled non-minimally to matter fields. This coupling is implemented by means of a Pauli-type coupling. We show that the Pauli term is sufficient to gives rise to fractional spin.PACS numbers: 11.10.Ef, 11.10.Kk, The fractional statistics [1] with its theoretical and applicable consequences plays an interesting interplay role between quantum field theory and condensed matter physics. Previous speculations [2] that the fractional quantum Hall effect could be explained by quasiparticles (anyons) obeying fractional statistics were confirmed both numerically and analytically [3]. So far not so successfully, anyons are also studied in the context of high T c superconductivity [4].As it is known, the presence of Chern-Simons terms in (2+1) dimensional gauge theories induce fractional statistics [5,6]. However, besides the statistical interaction, anyons may interact electro-magnetically [7]. To describe the fractional quantum Hall effect, a bound state of anyon and a magnetic flux tube is required [8], which means that the interaction between the electric charge and the magnetic moment of the anyon must be considered.Chern-Simons-like theories involving an anomalous magnetic moment have attracted much attention in the literature in recent years. Stern [9] was the first, as far as we know, to suggest a nonminimal term in the context of the Maxwell-Chern-Simons electrodynamics with the intention of mimicking an anyonic behavior without a pure Chern-Simons limit. This term can be interpreted as a tree level Pauli-type coupling, i. e., an anomalous magnetic moment. It is a specific feature of (2+1) dimensions that the Pauli coupling exists, not only for spinning particles, but also for scalar ones [10]. As a fundamental result Stern showed that, for a particular value of the nonminimal coupling constant, the field equations of his model coincide with the field equations of a pure Chern-Simons theory minimally coupled. * Permanent address: Universidade Regional do Cariri-URCA,

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Anomalous magnetic moment of anyons in three dimensional CP−1 model

Cited by 6 publications

References 28 publications

Planar supersymmetric quantum mechanics of a charged particle in an external electromagnetic field

Planar supersymmetric quantum mechanics of a charged particle in an external electromagnetic field

Off-critical correlations in the Ashkin-Teller model

Pauli's term and fractional spin

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