Old Journal Club: ‘Field Theories with Superconductor Solutions’

Lorenzo Paoloni (IFT) will present :“Field Theories with Superconductor Solutions”, Nuovo Cim. 19 (1961) 154–164 de J. Goldstone.

Venue & Time: Blue Room / 17:00

Abstract: 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.

More info: https://inspirehep.net/literature/12289