Equivalent Hamiltonian for Lee Model

Details Equivalent Hamiltonian for Lee Model Equivalent Hamiltonian for Lee Model

2007-11-30

arxiv.org/abs/0711.4967v1

Phys.Rev.D77:065023,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures

Scientific paper

10.1103/PhysRevD.77.065023

Using the techniques of quasi-Hermitian quantum mechanics and quantum field theory we use a similarity transformation to construct an equivalent Hermitian Hamiltonian for the Lee model. In the field theory confined to the $V/N\theta$ sector it effectively decouples $V$, replacing the three-point interaction of the original Lee model by an additional mass term for the $V$ particle and a four-point interaction between $N$ and $\theta$. While the construction is originally motivated by the regime where the bare coupling becomes imaginary, leading to a ghost, it applies equally to the standard Hermitian regime where the bare coupling is real. In that case the similarity transformation becomes a unitary transformation.

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