|
| | | | |
| | | |
| Stat |
Members: 3669
Articles: 2'599'751
Articles rated: 2609
18 March 2025 |
|
| | | | |
|
Article overview
| |
|
|
Twisted Gauge and Gravity Theories on the Groenewold-Moyal Plane | | A. P. Balachandran
; A. Pinzul
; B. A. Qureshi
; S. Vaidya
; | | Date: |
1 Aug 2007 | | Abstract: | Recent work [hep-th/0504183,hep-th/0508002] indicates an approach to the
formulation of diffeomorphism invariant quantum field theories (qft’s) on the
Groenewold-Moyal (GM) plane. In this approach to the qft’s, statistics gets
twisted and the S-matrix in the non-gauge qft’s becomes independent of the
noncommutativity parameter theta^{mu
u}. Here we show that the noncommutative
algebra has a commutative spacetime algebra as a substructure: the Poincare,
diffeomorphism and gauge groups are based on this algebra in the twisted
approach as is known already from the earlier work of [hep-th/0510059]. It is
natural to base covariant derivatives for gauge and gravity fields as well on
this algebra. Such an approach will in particular introduce no additional gauge
fields as compared to the commutative case and also enable us to treat any
gauge group (and not just U(N)). Then classical gravity and gauge sectors are
the same as those for heta^{mu
u}=0, but their interactions with matter
fields is sensitive to theta^{mu
u}. We construct quantum noncommutative
gauge theories (for arbitrary gauge groups) by requiring consistency of twisted
statistics and gauge invariance. In a subsequent paper (whose results are
summarized here), the locality and Lorentz invariance properties of the
S-matrices of these theories will be analyzed, and new non-trivial effects
coming from noncommutativity will be elaborated.
This paper contains further developments of [hep-th/0608138] and a new
formulation based on its approach. | | Source: | arXiv, 0708.0069 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER