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Twisted Gauge and Gravity Theories on the Groenewold-Moyal Plane · Around

2007

Twisted Gauge and Gravity Theories on the Groenewold-Moyal Plane

Balachandran, A. P., Pinzul, A., Qureshi, B. A. et al.

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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\nu}.
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.

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A. Pinzul, Int. J. Mod. Phys. A 20

2005

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A.P. Balachandran, A. Pinzul, B. Qureshi and S. Vaidya, [arXiv:hep-th/0608138]

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E. Akofor, A. P. Balachandran, S. G. Jo and A. Joseph, arXiv:0706.1259 [hep-th] (to appear in JHEP)

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A.P. Balachandran, A. Pinzul, B. Qureshi and S. Vaidya, arXix:0708.1379 [hep-th]

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H. Grosse and G. Lechner, arXiv:0706.3992 [hep-th]

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A. Kobakhidze, [arXiv:hep-th/0603132]

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A. P. Balachandran, T. R. Govindarajan, G. Mangano, A. Pinzul, B. A. Qureshi and S. Vaidya, Phys. Rev. D 75

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