The conditions for the existence of non-perturbative type « superconductor » solutions of field theories are examined. A non-covariant canonical transformation method is used to find such solutions for a theory of a fermion interacting with a pseudoscalar boson. A covariant renormalisable method using Feynman integrals is then given. A « superconductor » solution is found whenever in the normal perturbative-type solution the boson mass squared is negative and the coupling constants satisfy certain inequalities. The symmetry properties of such solutions are examined with the aid of a simple model of self-interacting boson fields. The solutions have lower symmetry than the Lagrangian, and contain mass zero bosons. © 1961 Società Italiana di Fisica.
CITATION STYLE
Goldstone, J. (1961). Field theories with « Superconductor » solutions. Il Nuovo Cimento, 19(1), 154–164. https://doi.org/10.1007/BF02812722
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