Equivalent Hamiltonian for Lee Model
| dc.creator | Jones, H. F. | |
| dc.date | 2007-11-30 | |
| dc.date.accessioned | 2026-07-07T11:13:28Z | |
| dc.date.available | 2026-07-07T11:13:28Z | |
| dc.description | 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 $V/Nθ$ 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 $θ$. 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. | |
| dc.description | 9 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0711.4967 | |
| dc.identifier | http://arxiv.org/abs/0711.4967 | |
| dc.identifier | Phys.Rev.D77:065023,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.065023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191730 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Equivalent Hamiltonian for Lee Model | |
| dc.type | text |