  We calculate the factor by which thermal phase fluctuations, as distinct from
phase-slip fluctuations, increase the inductance, LJ, of a resistively-shunted
Josephson junction (JJ) above its mean-field value, L0. We find that quantum
mechanics suppresses fluctuations when T drops below a temperature, TQ =
h/kBGL0, where G is the shunt conductance. Examination of the calculated sheet
inductance, LA(T)/L0(T), of arrays of JJ's reveals that 2-D interconnections
halve fluctuation effects, while reducing phase-slip effects by a much larger
factor. Guided by these results, we calculate the sheet inductance,
LF(T)/L0(T), of 2-D films by treating each plasma oscillation mode as an
overdamped JJ. In disordered s-wave superconductors, quantum suppression is
important for LF(0)/LF(T) > 0.14, (or, T/TC0 < 0.94). In optimally doped YBCO
and BSCCO quantum suppression is important for l2(0)/l2(T) > 0.25, where l is
the penetration depth.
