  We study the problem of disorder-free metals near a continuous quantum
critical point. We depart from the standard paradigm of Hertz and Millis, and
treat both fermions and bosons i.e. order parameter fields) on equal footing.
We construct a Wilsonian effective field theory that integrates out only high
energy boson and fermion modes. Below the upper critical dimension of the
theory (d=3 spatial dimensions), we find new fixed points in which the bosons
are described by the Wilson-Fisher fixed point and are coupled to a non-Fermi
liquid metal. We describe subtleties with the renormalization group flow of
four-Fermi interactions, which can be surmounted in a controlled large N limit.
In this limit, we find that the theory has no superconducting instability.
