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

Microscopic description of the chiral Tomonaga-Luttinger liquid at the fractional quantum Hall edge