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The thermally driven confinement-deconfinement transition exhibited bylattice quantum electrodynamics in two space dimensions is re-examined in thecontext of the statistical gauge-fields common to anyon superconductors and tospin-liquids. Particle-hole excitations in both systems are bound by aconfining string at temperatures below the transition temperature $T_c$. Weargue that $T_c$ coincides with the actual critical temperature for anyonsuperconductivity. The corresponding specific-heat contribution, however, showsa {\it smooth} peak just below $T_c$ characteristic of certain high-temperaturesuperconductors.Comment: 13 pgs, TeX, to appear in Physical Review B (minor revisions

Thermal properties of gauge fields common to anyon superconductors and spin liquids