  The effective field theory of the fractional quantum Hall edge is
reformulated from microscopic dynamics. Noncommutative Chern-Simons theory is a
microscopic description for the quantum Hall fluid. We use it for reference.
Considering relabeling symmetry of the electrons and incompressibility of the
fluid, we obtain a constraint and derive a chiral Tomonaga-Luttinger liquid
theory containing interaction terms. We calculate one-loop corrections to the
phonon and electron propagators and get a new tunneling exponent. It agrees
with experiments.
