Gauge invariance and current algebra in nonrelativistic many body theory

@article{Frhlich1993GaugeIA,
  title={Gauge invariance and current algebra in nonrelativistic many body theory},
  author={J{\"u}rg Fr{\"o}hlich and Urban M. Studer},
  journal={Reviews of Modern Physics},
  year={1993},
  volume={65},
  pages={733-802}
}
The main purpose of this paper is to further our theoretical understanding of the fractional quantum Hall effect, in particular of spin effects, in two-dimensional incompressible electron fluids subject to a strong, transverse magnetic field. As a prerequisite for an analysis of the quantum Hall effect, the authors develop a general formulation of the many-body theory of spinning particles coupled to external electromagnetic fields and moving through a general, geometrically nontrivial… 
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