  We address the problem of separating the short-distance, high-energy physics
of cyclotron motion from the long- distance, low-energy physics within the
Lowest Landau Level in field theoretic treatments of the Fractional Quantum
Hall Effect. We illustrate our method for the case $\nu =1/2$. By a sequence of
field transformations we go from electrons to fermions that carry flux tubes of
thickness $l_o$ (cyclotron radius) and couple to harmonic oscillators
corresponding to magnetoplasmons. The fermions keep track of the low energy
physics while the oscillators describe the Landau level, cyclotron currents
etc. From this starting point we are able to get Jain and Rezayi-Read
wavefunctions, and many subsequent modifications of the RPA analysis of
Halperin, Lee and Read.
