# QFT with Twisted Poincaré Invariance and the Moyal Product

2 APC - THEORIE
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : We study the consequences of twisting the Poincare invariance in a quantum field theory. First, we construct a Fock space compatible with the twisting and the corresponding creation and annihilation operators. Then, we show that a covariant field linear in creation and annihilation operators does not exist. Relaxing the linearity condition, a covariant field can be determined. We show that it is related to the untwisted field by a unitary transformation and the resulting n-point functions coincide with the untwisted ones. We also show that invariance under the twisted symmetry can be realized using the covariant field with the usual product or by a non-covariant field with a Moyal product. The resulting S-matrix elements are shown to coincide with the untwisted ones up to a momenta dependent phase.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00144391
Contributor : Simone Lantz <>
Submitted on : Thursday, May 3, 2007 - 11:39:47 AM
Last modification on : Wednesday, October 21, 2020 - 4:32:15 PM

### Citation

E. Joung, J. Mourad. QFT with Twisted Poincaré Invariance and the Moyal Product. Journal of High Energy Physics, Springer, 2007, 05, pp.098. ⟨10.1088/1126-6708/2007/05/098⟩. ⟨in2p3-00144391⟩

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