Twisted Poincaré Invariant Quantum Field Theories

Details Twisted Poincaré Invariant Quantum Field Theories Twisted Poincaré Invariant Quantum Field Theories

2007-08-13

arxiv.org/abs/0708.1779v1

Phys.Rev.D77:025021,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, JHEP style

Scientific paper

10.1103/PhysRevD.77.025021

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 . A significant new contribution here is the construction of the Poincar\'e generators using quantum fields.

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