R. Acharya et Pn. Swamy, RELATIVISTIC QED IN (2-DIMENSIONAL SPACE - THE INTEGER AND FRACTIONALQUANTIZED HALL-EFFECTS(1)), International journal of modern physics A, 9(6), 1994, pp. 861-872
A unified theory of the phenomena of the integer and the fractional qu
antized Hall effects (FQHE) is presented within the framework Of quant
um electrodynamics in 2 + 1 dimensions. It is demonstrated that FQHE e
merges naturally from a nonperturbative, weak coupling (ladder approxi
mation) solution of a linearized Dy-Schwinger equation for massive ele
ctrons interacting with massless photons. The Chem-Simons term plays n
o role in this analysis.