QUANTUM HALL-EFFECT

The gap equation for the electron self-energy function is considered i n the framework of (2 + 1)-dimensional quantum electrodynamics. The fi lling factor nu for the quantum Hall effect is related to a free param eter lambda by considering the development of the gap equation. The la tter is shown to be expandable in the power series of m(2)/p(2), with p being the modulus of the momentum of a single Hall electron and m it s physical mass.