Chern-Simons Theory and Quantum Fields in the Lowest Landau Level

Details Chern-Simons Theory and Quantum Fields in the Lowest Landau Level Chern-Simons Theory and Quantum Fields in the Lowest Landau Level

2000-07-05

arxiv.org/abs/hep-th/0007033v1

Int.J.Mod.Phys. B14 (2000) 1429

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, RevTex

Scientific paper

10.1142/S0217979200001357

By considering the area preserving geometric transformations in the configuration space of electrons moving in the lowest Landau level (LLL) we arrive at the Chern-Simons type Lagrangian. Imposing the LLL condition, we get a scheme with the complex gauge fields and transformations. Quantum theory for the matter field in LLL is considered and formal expressions for Read's operator and Laughlin wave function are presented in the second quantized form.

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