POSSIBLE GLASSINESS IN A PERIODIC LONG-RANGE JOSEPHSON ARRAY

We present an analytic study of a periodic Josephson array with long-r ange interactions in a transverse magnetic field which frustrates the superconducting phases. We find that this system exhibits a first-orde r transition into a phase characterized by an extensive number of stat es separated by barriers that scale with the system size; the associat ed discontinuity is small in the limit of weak applied field, thus per mitting an explicit analysis in this regime.