Abstract
Multi-condensate superconductors have multiple excitation modes. Among them, the Nambu-Goldstone mode, Leggett mode, and Higgs mode are important in superconductors. The dispersion relations and mass formulas of these modes in a multi-condensate superconductor are evaluated by using the functional integral method. At low temperatures, the Higgs mode is defined clearly with the action of a quadratic form. The Higgs mass in the BCS model has a non-relativistic correction compared to that of the relativistic Nambu-Jona-Lasinio model.
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