Abstract

The quantum decay of a one-dimensional small supercurrent is a charge non-neutral process which involves an electromagnetic field. I take proper account of magnetic and electric screening, respectively, and find that the electromagnetic field contributes an exponentially small multipling factor ${e}^{\ensuremath{-}A/\ensuremath{\alpha}}\ensuremath{\sim}{e}^{\ensuremath{-}100}$ to the quantum decay rate with \ensuremath{\alpha} the fine structure constant and $A$ a numerical constant of order unity. This means that a circulating supercurrent lives forever. Possible relevance with several recent experiments is discussed.

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