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
INIS
- Country of Publication
- Italy
- Country of Input or Organization
- Italy
- INIS RN
- 16000142
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FERMIONS; GAUGE INVARIANCE; HELIUM 3 B; ISOSPIN; LAGRANGIAN FUNCTION; LEPTONS; MASS; PHOTONS; QUARKS; SPACE-TIME; SPIN; SPINORS; SYMMETRY; U-1 GROUPS
- Descriptors DEC
- ANGULAR MOMENTUM; ELEMENTARY PARTICLES; EVEN-ODD NUCLEI; FUNCTIONS; HELIUM ISOTOPES; HELIUM 3; INVARIANCE PRINCIPLES; ISOTOPES; LIE GROUPS; LIGHT NUCLEI; MASSLESS PARTICLES; NUCLEI; PARTICLE PROPERTIES; POSTULATED PARTICLES; STABLE ISOTOPES; SYMMETRY GROUPS; U GROUPS