Analytic Properties of the Partition Function near the Normal-to-Superconducting Phase Transition

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Abstract
It is shown that the grand partition function for a superconductor has analytic properties near the transition point in the complex temperature plane similar to those described by Lee and Yang in their statistical theory of condensation. The normal and superconducting regions of the complex plane are separated by a line of zeroes which, in the limit of infinite volume, becomes a natural boundary.