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An expansion in powers of 1/z is used to study the effect of phase fluctuations on the transition temperature of a granular superconductor, modeled as an array of Josephson junctions. The lowest-order correction to T₂/zJ diverges to negative infinity at the grain diameter =zJ/U=2 and reaches the value -1/2z when =, which corresponds to the classical XY model. The lowest-order correction to the critical grain diameter is also calculated.
R. S. Fishman (Mon,) studied this question.