The hierarchy problem in a functional extension of quantum field theory

by Francesco Caravaglios (University of Milano)

Thursday 23 Jun 2005, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

Second quantization is a theory that describes a system with an arbitrary number of identical particles. The operators that create or annihilate particles are fields, i.e. functions of the space coordinates. If we want to describe a system with an arbitrary number of identical fields (instead of particles) we need to introduce functional operators that create or annihilate entire fields. We show that in this theory the hierarchy problem can find a natural solution. This theory also implies a permutation symmetry of the three fermion families. We discuss the implications of this symmetry to neutrino oscillations.