Equivalent Hamiltonian for the Lee model
- Physics Department, Imperial College London, London SW7 2AZ (United Kingdom)
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.
- OSTI ID:
- 21249876
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 6; Other Information: DOI: 10.1103/PhysRevD.77.065023; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
On the clothing transformation in the lee model
Possible treatment of the ghost states in the Lee-Wick standard model