Displacement deformed quantum fields
| dc.creator | Morgan, Peter | |
| dc.date | 2006-10-10 | |
| dc.date.accessioned | 2026-07-07T07:30:21Z | |
| dc.date.available | 2026-07-07T07:30:21Z | |
| dc.description | A displacement operator d_ζis introduced, verifying commutation relations [d_ζ, a_f^\dagger]=[d_ζ, a_f]=ζ(f)d_ζwith field creation and annihilation operators that verify [a_f,a_g]=0, [a_f,a_g^\dagger]=(g,f), as usual. f and g are test functions, ζis a Poincare invariant real-valued function on the test function space, and (g,f) is a Poincare invariant Hermitian inner product. The *-algebra generated by all these operators, and a state defined on it, nontrivially extends the *-algebra of creation and annihilation operators and its Fock space representation. If the usual requirement for linearity is weakened, as suggested in quant-ph/0512190, we obtain a deformation of the free quantum field. | |
| dc.description | Relies on quant-ph/0512190. 12 pages. 2 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0610077 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0610077 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118427 | |
| dc.subject | Quantum Physics | |
| dc.title | Displacement deformed quantum fields | |
| dc.type | text |