  We calculate the low-lying spectra of glueballs and confining flux tubes in
the U(1) lattice gauge theory in 2+1 dimensions. We see that up to modest
lattice spacing corrections, the glueball states are consistent with being
multiparticle states composed of non-interacting massive JPC=0-- particles. We
observe that the ag^2 -> 0 limit is, as expected, unconventional, and follows
the well-known saddle-point analysis of Polyakov to a good approximation. The
spectrum of closed (winding) flux tubes exhibits the presence of a massive
world-sheet excitation whose mass is consistent with that of the bulk screening
mass. These U(1) calculations are intended to complement existing lattice
calculations of the properties of SU(N) and SO(N) gauge theories in D=2+1.
