The Low Energy Limit of the Chern-Simons Theory Coupled to Fermions

Details The Low Energy Limit of the Chern-Simons Theory Coupled to Fermions The Low Energy Limit of the Chern-Simons Theory Coupled to Fermions

1997-03-27

arxiv.org/abs/hep-th/9703200v1

Phys.Rev. D56 (1997) 3623-3630

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 8 figures, Latex

Scientific paper

10.1103/PhysRevD.56.3623

We study the nonrelativistic limit of the theory of a quantum Chern--Simons field minimally coupled to Dirac fermions. To get the nonrelativistic effective Lagrangian one has to incorporate vacuum polarization and anomalous magnetic moment effects. Besides that, an unsuspected quartic fermionic interaction may also be induced. As a by product, the method we use to calculate loop diagrams, separating low and high loop momenta contributions, allows to identify how a quantum nonrelativistic theory nests in a relativistic one.

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