  The intermediate 3D XY scaling theory of superconductivity at zero and
nonzero magnetic fields is developed, based only upon the dimensional
hypothesis $B\sim (Length)^{-2}$. Universal as well as nonuniversal aspects of
the theory are identified, including background terms and demagnetization
effects. Two scaling regions are predicted: an "inner" region (very near the
zero field superconducting transition, $T_c$), where the fields $B$, $H$, and
$H_{ex}$ differ substantially, due to the presence of diamagnetic fluctuations,
and an "outer" region (away from $T_c$), where the fields can all be treated
similarly. The characteristic field ($H_0$) and temperature ($t_1$) scales,
separating the two regimes, are estimated. Scaling theories of the phase
transition line, magnetization, specific heat, and conductivity are discussed.
Multicritical behavior, involving critical glass fluctuations, is investigated
along the transition line, $T_m(B)$, at nonzero fields.
