Microcausality of Dirac field on noncommutative spacetime
| dc.creator | Ma, Zheng Ze | |
| dc.date | 2006-03-23 | |
| dc.date | 2006-05-08 | |
| dc.date.accessioned | 2026-07-07T07:06:16Z | |
| dc.date.available | 2026-07-07T07:06:16Z | |
| dc.description | We study the microcausality of free Dirac field on noncommutative spacetime. We calculate the vacuum and non-vacuum state expectation values for the Moyal commutator $[\barψ_α(x)\starψ_β(x),\barψ_ σ(x^{\prime})\starψ_τ(x^{\prime})]_{\star}$ of Dirac field on noncommutative spacetime. We find that they do not vanish for some cases of the indexes for an arbitrary spacelike interval, no matter whether $θ^{0i}=0$ or $θ^{0i}\neq0$. However for the physical observable quantities of Dirac field such as the Lorentz scalar $:\barψ(x)\starψ(x):$ and the current $j^μ(x)=:\barψ(x)γ^μ\starψ(x):$ etc., we find that they still satisfy the microcausality. Therefore microcausality is satisfied for Dirac field on noncommutative spacetime. | |
| dc.description | 21 pages, Latex, v3, some mistakes corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0603181 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0603181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109963 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Microcausality of Dirac field on noncommutative spacetime | |
| dc.type | text |