Ground States of the Yukawa models with Cutoffs

Details Ground States of the Yukawa models with Cutoffs Ground States of the Yukawa models with Cutoffs

2009-12-25

arxiv.org/abs/0912.4951v1

Mathematics

Functional Analysis

Scientific paper

Ground states of the so called Yukawa model is considered. The Yukawa model describes a Dirac field interacting with a Klein-Gordon field. By introducing both ultraviolet cutoffs and spatial cutoffs, the total Hamiltonian is defined as a self-adjoint operator on a boson-fermion Fock space. It is shown that the total Hamiltonian has a positive spectral gap for all values of coupling constants. In particular the existence of ground states is proven.

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