# Field theories with « Superconductor » solutions

@article{Goldstone1961FieldTW, title={Field theories with « Superconductor » solutions}, author={Jeffrey Goldstone}, journal={Il Nuovo Cimento (1955-1965)}, year={1961}, volume={19}, pages={154-164} }

SummaryThe 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… Expand

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#### References

A unified model of K- and π-mesons

- Physics
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1959

On the foundation of an antecedent non-linear meson field theory it is suggested that the π-meson fields may be described in terms of collective motions of the K-meson fields. A particular model of… Expand