Causality in Non-Commutative Quantum Field Theories
| dc.creator | Haque, Asrarul | |
| dc.creator | Joglekar, Satish D. | |
| dc.date | 2007-01-18 | |
| dc.date | 2007-03-03 | |
| dc.date.accessioned | 2026-07-07T11:44:02Z | |
| dc.date.available | 2026-07-07T11:44:02Z | |
| dc.description | We study causality in non-commutative quantum field theory with a space-space non-commutativity. We employ the S-operator approach of Bogoliubov-Shirkov(BS). We generalize the BS criterion of causality to the noncommutative theory. The criterion to test causality leads to a nonzero difference between T*-product and T-product as a condition of causality violation for a spacelike separation. We discuss two examples; one in a scalar theory and one in the Yukawa theory. In particular, in the context of a non-commutative Yukawa theory, with the interaction Lagrangian $\barψ(x)\starψ(x)\starϕ(x)$, is observed to be causality violating even in case of space-space noncommutativity for which θ^{0i}=0. \ | |
| dc.description | 18 pages, LaTeX; A few changes in sections 3.2,3.3 and 4 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0701171 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0701171 | |
| dc.identifier | J.Phys.A41:215402,2008 | |
| dc.identifier | doi:10.1088/1751-8113/41/21/215402 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201457 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Causality in Non-Commutative Quantum Field Theories | |
| dc.type | text |