A toy model of open membrane field theory in constant 3-form flux
| dc.creator | Ho, Pei-Ming | |
| dc.creator | Matsuo, Yutaka | |
| dc.date | 2007-01-14 | |
| dc.date | 2007-03-07 | |
| dc.date.accessioned | 2026-07-07T10:38:04Z | |
| dc.date.available | 2026-07-07T10:38:04Z | |
| dc.description | Based on an explicit computation of the scattering amplitude of four open membranes in a constant 3-form background, we construct a toy model of the field theory for open membranes in the large C field limit. It is a generalization of the noncommutative field theories which describe open strings in a constant 2-form flux. The noncommutativity due to the B-field background is now replaced by a nonassociative triplet product. The triplet product satisfies the consistency conditions of lattice 3d gravity, which is inherent in the world-volume theory of open membranes. We show the UV/IR mixing of the toy model by computing some Feynman diagrams. Inclusion of the internal degree of freedom is also possible through the idea of the cubic matrix. | |
| dc.description | 31 pages, latex, 2 eps figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0701130 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0701130 | |
| dc.identifier | Gen.Rel.Grav.39:913-944,2007 | |
| dc.identifier | doi:10.1007/s10714-007-0433-3 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180594 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A toy model of open membrane field theory in constant 3-form flux | |
| dc.type | text |