# Effective vector-field theory and long-wavelength universality of the fractional quantum Hall effect

Source: [Effective vector-field theory and long-wavelength universality of the fractional quantum Hall effect](<https://www.sota2.com/research/paper/68fa256e2c2a3760193affa5>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:42:00.609Z

Authors: K. Shizuya

Published: 2001-10-22T09:08:48.000Z

## Abstract

We report on an effective vector-field theory of the fractional quantum Hall effect that takes into account projection to Landau levels. The effective theory refers to neither the composite-boson nor composite-fermion picture, but properly reproduces the results consistent with them, thus revealing the universality of the long-wavelength characteristics of the quantum Hall states. In particular, the dual-field Lagrangian of Lee and Zhang is obtained, and an argument is given to verify the identification by Goldhaber and Jain of a composite fermion as a dressed electron. The generalization to double-layer systems is also remarked on.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0110451>)

[PDF](<https://arxiv.org/pdf/cond-mat/0110451.pdf>)