Fermion generations birth effect in the two measures theory

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A spontaneously broken SU(2) x U(1) gauge theory with just one "primordial" generation of fermions is formulated in the context of a generally covariant theory which contains two measures of integration in the action: the standard RADICAL:[[RADICAND:[-gd4x]]] and a new one Phid4x, where Phi is a density built out of degrees of freedom independent of the metric. Such type of models are known to produce a satisfactory answer to the cosmological constant problem. Global scale invariance is implemented. After SSB of scale invariance and gauge symmetry it is found that with the conditions appropriate to laboratory particle physics experiments, to each primordial fermion field corresponds three physical fermionic states. Two of them correspond to particles with constant masses and they are identified with the first two generations of the electro-weak theory. In space-time regions where the regular fermionic matter has the typical laboratory particle physics density, the dilaton is decoupled from the regular fermionic matter. This provides a resolution of the long-range force problem. The third fermionic states at the classical level get non-polynomial interactions which indicate the existence of fermionic condensate and fermionic mass generation. The possible role of the measure Phi in some quantum gravity effects is discussed.
Original languageEnglish GB
Title of host publication: AIP Conference Proceedings
StatePublished - 2002

Publication series

NameCOSMOLOGY AND ELEMENTARY PARTICLE PHYSICS: Coral Gables Conference on Cosmology and Elementary Particle Physics, Proceedings of a conference held in Fort Lauderdale, Florida, 12-16 December 2001. Edited by Behram N. Kursunoglu, Stephan L. Mintz, and Arnold Perlmutter. AIP Conference Proceedings


  • Broken Symmetry
  • Cosmology
  • Electrons
  • Fermions
  • Gauge Theory
  • Gravitation Theory
  • Leptons
  • Quarks
  • Space-Time Functions
  • Spontaneous breaking of gauge symmetries
  • Observational cosmology
  • Quantum gravity


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