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arXiv · 1209.3207

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

Jean-Claude Guillot
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Abstract

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 of 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.

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Jean-Claude Guillot. 2012-09-14. Spectral theory of a mathematical model in Quantum Field Theory for any spin. https://arxiv.org/abs/1209.3207

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