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Twisted Poincar\'e Invariant Quantum Field Theories · Around

2007

Twisted Poincar\'e Invariant Quantum Field Theories

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

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It is by now well known that the Poincar\'e group acts on the Moyal plane with a twisted coproduct.

Poincar\'e invariant classical field theories can be formulated for this twisted coproduct.
In this paper we systematically study such a twisted Poincar\'e action in quantum theories on the Moyal plane.
We develop quantum field theories invariant under the twisted action from the representations of the Poincar\'e group, ensuring also the invariance of the S-matrix under the twisted action of the group .

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A. P. Balachandran, T. R. Govindarajan, G. Mangano, A. Pinzul, B. A. Qureshi and S. Vaidya, [arXiv:hep-th/0608179]. See also, A. P. Balachandran, A. R. Queiroz, A. M. Marques and P. Teotonio-Sobrinho, arXiv:0706.0021 [hep-th]
Original
Cited in the paper.
A. P. Balachandran, A. Pinzul, B. A. Qureshi and S. Vaidya, arXiv:hep-th/0608138 (see also [ 13 , 18 ] )
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A. P. Balachandran, A. Pinzul, B. A. Qureshi and S. Vaidya, arXiv:0708.0069 [hep-th]
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A. P. Balachandran, A. Pinzul, B. A. Qureshi and S. Vaidya, arXiv:0708.1379 [hep-th]
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E. Akofor, A. P. Balachandran, S. G. Jo and A. Joseph, arXiv:0706.1259 [hep-th]
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Cited in the paper.
A. P. Balachandran, A. R. Queiroz, A. M. Marques and P. Teotonio-Sobrinho, arXiv:0706.0021 [hep-th]
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Cited in the paper.

Then

P. Aschieri, C. Blohmann, M. Dimitrijevic, F. Meyer, P. Schupp and J. Wess, Class. Quant. Grav. 22
2005
Later among the works it cites.
A.P. Balachandran, G. Mangano, A. Pinzul and S. Vaidya, Int. J. Mod. Phys. A 21
2006
Later among the works it cites.
A. P. Balachandran, A. Pinzul and B. A. Qureshi, Phys. Lett. B 634
2006
Later among the works it cites.

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