Published December 1, 1983 | Version v1
Journal article

On a gauge-invariant and general space-time covariant nonlinear spinor theory

Creators

  • 1. Max-Planck-Institut fuer Physik und Astrophysik, Muenchen (Germany, F.R.). Inst. fuer Physik

Description

The formerly introduced D1 x SLsub(4,L,loc) x SLsub(4,C,loc)-invariant, N=2 superymmetric Lagrangian approx.: det chi chisup(*):(x) in terms of a single 4-componemt fermion field chi(x) is subjected to two different symmetry breakdown mechanisms: 1) a dramatic symmetry breakdown inferred by the quantization condition for the fermion field and characterized by the Planck action constant inducing propagation and interaction at separate space-time points, and revealing gravitation as a Goldstone phenomenon similar to the spin-nematic waves of the superfluid 3He b-phase; 2) a spontaneous breakdown of dilatation and isospin symmetry establishing mass scales like the Planck and the Fermi mass. The effective derivative form of the Lagrangian resulting from 1) with the inclusion of mass terms resulting from 2) is rederived in a more compact manner by using well-known determinant expansion techniques. Particular care is taken to expose the SLsub(4,C,loc) gauge structure and the corresponding (chi-composed) vector gauge fields which all but one (photon) become massive (Anderson-Higgs). The effective Lagrangian contains two different kinds of fermion fields: the leptons with essentially only the usual flavour gauge interactions, and the 'quarks' with additional more complicated interactions, apparently, however, quite dissimilar from 'colour'

Additional details

Publishing Information

Journal Title
Nuovo Cim., A
Journal Volume
78
Journal Issue
3
Series
Nuovo Cim., A.
Journal Page Range
265-305
ISSN
0369-3546