Induced magnetic moment in noncommutative Chern–Simons scalar QED | Zendy

Prasanta K. Panigrahi | Zendy; T. Shreecharan | Zendy

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Induced magnetic moment in noncommutative Chern–Simons scalar QED

Author(s) -

Prasanta K. Panigrahi,

T. Shreecharan

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/02/045

Subject(s) - anomalous magnetic dipole moment , noncommutative geometry , chern–simons theory , commutative property , mathematical physics , physics , vertex (graph theory) , mathematics , scalar (mathematics) , noncommutative quantum field theory , quantum electrodynamics , pure mathematics , quantum mechanics , magnetic moment , combinatorics , graph , geometry , gauge theory

We compute the one loop, $O(\th)$ correction to the vertex in thenoncommutative Chern-Simons theory with scalar fields in the fundamentalrepresentation. Emphasis is placed on the parity odd part of the vertex, sincethe same leads to the magnetic moment structure. We find that, apart from thecommutative term, a $\th$-dependent magnetic moment type structure is induced.In addition to the usual commutative graph, cubic photon vertices also give afinite $\th$ dependent contribution. Furthermore, the two two-photon vertexdiagrams, that give zero in the commutative case yield finite $\th$ dependentterms to the vertex function.Comment: 8 pages, 8 figures. Reference added. A remark about hep-th/0410257, in the original version, changed after clarification from the author

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