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Phys Rev Lett. 2007 Jun 15;98(24):241602. Epub 2007 Jun 15.

Field theoretic description of the Abelian and non-Abelian Josephson effect.

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Department of Physics, University of Cincinnati, P.O. Box 210011, Cincinnati, Ohio 45221-0011, USA.


We formulate the Josephson effect in a field theoretic language which affords a straightforward generalization to the non-Abelian case. Our formalism interprets Josephson tunneling as the excitation of pseudo Goldstone bosons. We demonstrate the formalism through the consideration of a single junction separating two regions with a purely non-Abelian order parameter and a sandwich of three regions where the central region is in a distinct phase. Applications to various non-Abelian symmetry breaking systems in particle and condensed matter physics are given.

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