Field theoretic description of the abelian and non-abelian Josephson effect

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.

arXiv comment10 pages no figures

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• Specific Heat of Mg ^{11}B_2
• Kaon Condensation and Goldstone's Theorem
• Confinement versus Chiral Symmetry
• Spontaneous Symmetry Breaking with Abnormal Number of Nambu-Goldstone Bosons and Kaon Condensate
• Composite defect extends cosmology - 3He analogy
• Proximity Effect and Josephson Coupling in the SO(5) Theory of High-Tc Superconductivity
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• Holographic Josephson Junctions and Berry holonomy from D-branes
• Theory of generalized Josephson effects
• The non-Abelian bosonic quantum ring
• Morphological Superfluid in a Nonmagnetic Spin-2 Bose-Einstein Condensate