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

Autor:	Guillot, Jean-Claude
Rok vydání:	2012
Předmět:	Mathematical Physics Mathematics - Spectral Theory
Zdroj:	Contemporary Mathematics, vol 640, 13-37, 2015
Druh dokumentu:	Working Paper
Popis:	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. Comment: A subsection revised
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1209.3207 Zobrazit plný text záznamu View this record from Arxiv