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A method was devised to construct a generalized dual field theory in thequantum field theory. As a simple example using this method, we examined theduality between coherent quantum phase slip and the Josephson effect in singlejunction systems and nanowires. The this method was proved to be reliablewithin the Villain approximation.

Theoretical proposal for dual transformation between the Josephson effect and quantum phase slip in single junction systems and nanowires