Fermion generations birth effect in the two measures theory Academic Article uri icon


  • A spontaneously broken SU(2) × 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 and a new one Φd4x, where Φ 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 Φ in some quantum gravity effects is discussed. © 2002 American Institute of Physics

publication date

  • June 24, 2002