arXiv:hep-th/0510130v1 16 Oct 2005 Preprint typeset in JHEP style - HYPER VERSION UdeM-GPP-TH-05-141 The abelian and non-abelian Josephson effect and pseudo-goldstone bosons L.-P. Guay ∗ , R. B. MacKenzie † , M. B. Paranjape ‡ Groupe de physique des particules, Universit´ e de Montr´ eal C.P. 6128, succ. centre-ville, Montr´ eal, Qu´ ebec, CANADA H3C 3J7 Paul Esposito § , L. C. R. Wijewardhana ¶ Department of Physics University of Cinicinatti P.O. Box 210011 Cincinatti, OH USA 45221-0011 Abstract: We formulate the Josephson effect in a field theoretic language which affords a straightforward generalization to the non-abelian case. We give some examples and apply the formalism to the case of SO(5) superconductivity. Keywords: Josephson effect, pseudo-Goldstone bosons, non-abelian symmetry, SO(5) superconductivity. * E-mail: l-p-guay@umontreal.ca † E-mail: rbmack@lps.umontreal.ca ‡ E-mail: paranj@lps.umontreal.ca § E-mail: esposito@physics.uc.edu ¶ E-mail: rohana@physics.uc.edu