Field Theory on Curved Noncommutative Spacetimes
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Field Theory on Curved Noncommutative Spacetimes
|
|
| Creator |
Schenkel, A.
Uhlemann, C.F. |
|
| Description |
We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by using (Abelian) Drinfel'd twists and the associated *-products and *-differential geometry. In particular, we allow for position dependent noncommutativity and do not restrict ourselves to the Moyal-Weyl deformation. We construct action functionals for real scalar fields on noncommutative curved spacetimes, and derive the corresponding deformed wave equations. We provide explicit examples of deformed Klein-Gordon operators for noncommutative Minkowski, de Sitter, Schwarzschild and Randall-Sundrum spacetimes, which solve the noncommutative Einstein equations. We study the construction of deformed Green's functions and provide a diagrammatic approach for their perturbative calculation. The leading noncommutative corrections to the Green's functions for our examples are derived.
|
|
| Date |
2019-02-09T09:42:23Z
2019-02-09T09:42:23Z 2010 |
|
| Type |
Article
|
|
| Identifier |
Field Theory on Curved Noncommutative Spacetimes / A. Schenkel, C.F. Uhlemann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 41 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81T75; 83C65; 53D55 DOI:10.3842/SIGMA.2010.061 http://dspace.nbuv.gov.ua/handle/123456789/146363 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|