1209.3207 (Jean-Claude Guillot)

Spectral theory of a mathematical model in Quantum Field Theory for any
spin    [PDF]

Jean-Claude Guillot

In this paper we use the formalism of S.Weinberg in order to construct a mathematical model based on the weak decay of hadrons and nuclei. In particular we consider a model which generalizes the weak decay the nucleus of the cobalt. We associate with this model a Hamiltonian with cutoffs in a Fock space. The Hamiltonian is self-adjoint and has an unique ground state. By using the commutator theory we get a limiting absorption principle from which we deduce that the spectrum of the Hamiltonian is absolutely continuous above the energy of the ground state and below the first threshold.

View original: http://arxiv.org/abs/1209.3207