Field theories with « Superconductor » solutions

  title={Field theories with « Superconductor » solutions},
  author={Jeffrey Goldstone},
  journal={Il Nuovo Cimento (1955-1965)},
  • J. Goldstone
  • Published 1961
  • Physics
  • Il Nuovo Cimento (1955-1965)
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
Collective modes, coupling constants and dynamical-symmetry rearrangement in superconductivity
SummaryA simplified approach to the field-theoretic treatment of superconductivity is developed. In addition to providing more clear derivations of known results, we derive some new results:Expand
Spontaneous breakdown of gauge symmetries sans scalar mesons
SummaryThe question of whether the masses of fermions and vector mesons can be generated by the spontaneous breakdown of gauge symmetries in field theories without scalar mesons is discussed. WorkingExpand
Strange particles and degenerate vacuum
SummaryIn the nonlinear spinor theory of Heisenberg and co-workers use is made of a ground state degenerate with respect to isospin. This should imply: 1) due to a somewhat generalized GoldstoneExpand
Dynamical rearrangement of symmetries
SummaryThe Goldstone model of a complex scalar field with a biquadratic interaction term in the Lagrangian is studied in the pair approximation. It is found that a zero-mass particle, the GoldstoneExpand
Degeneracy of physical vacuum in vector meson theories with conserved current
SummaryAll possible Goldstone particles for linear vector field theories with conserved current are introduced. It is shown that ifm≠0 we have one kind of these particles, and ifm=0 the number risesExpand
Broken symmetries for any spin
SummaryIt is shown that in the absence of interactions one can construct nonvanishing vacuum expectation values for the field operators which describe massless particles of an arbitrary spin. SinceExpand
Abstract Composite states are studied in the frame of a non-linear spinor theory with two simultaneously broken symmetries. Broken chiral or Lorentz invariance implies a degeneracy of the vacuum.Expand
Gauge fields inS1×R3
SummarySimple gauge theories like the Higgs model and the scalar QED are studied in flat space-time with topologyS1×R3. This nontrivial topology modifies the mass spectrum of the fields throughExpand
A quantum field-theoretical model with ground state of decreased symmetry
SummaryA self-coupled scalar field is discussed which has two ground states in the classical theory. The quantum-theoretical calculation uses the variational method proposed by Schiff. The groundExpand
On the covariant description of spontaneously broken symmetry in general field theory
SummaryReducible fieldsA(x) with degenerate vacuum which allow the unitary-symmetry transformationU−1(c)A(x)U(c)=A(x)+c are analysed. We describe the mathematical properties of the « charge integralExpand


A unified model of K- and π-mesons
  • T. Skyrme
  • 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 ofExpand