Abstract

We briefly review some results on Green’s functions for mixed fermion fields and reinterpret them in terms of Schwinger–Dyson equations. Working with retarded propagators, we identify the self-energy operator for the mixing interaction, and find an exactly solvable expansion for the complete-fermion propagator. Finally, we show that an equation à la Bethe–Salpeter can be derived from Schwinger–Dyson equations, leading to the formal concept of single-particle bound state.

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