1211.4965 (Toshimitsu Takaesu)

Essential spectrum of fermionic quantum field model    [PDF]

Toshimitsu Takaesu

In this paper, an abstract interacting system of fermionic quantum field is investigated. The state space is defined by a tensor product Hilbert space of a fermion Fock spce and an abstract Hilbert space. It is assumed that the total Hamiltonian is a self-adjoint operator on the state space. In the main theorem, the location of essential spectrum the total Hamiltonian is investigated. Its application to the Yukawa model, which is the system of Dirac field coupled to Klein-Gordon field, is also investigated.

View original: http://arxiv.org/abs/1211.4965