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Field theoretic description of the Abelian and non-Abelian Josephson effect
F Paul Esposito1, L-P Guay, R B MacKenzie
1Department of Physics, University of Cincinnati, P.O. Box 210011, Cincinnati, Ohio 45221-0011, USA.
Abstract:
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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