QFT with twisted Poincaré invariance and the Moyal product | Zendy

Euihun Joung | Zendy; J. Mourad | Zendy

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QFT with twisted Poincaré invariance and the Moyal product

Author(s) -

Euihun Joung,

J. Mourad

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/05/098

Subject(s) - covariant transformation , physics , mathematical physics , fock space , field (mathematics) , quantum field theory , symmetry (geometry) , unitary state , product (mathematics) , theoretical physics , pure mathematics , mathematics , quantum mechanics , geometry , political science , law

We study the consequences of twisting the Poincare invariance in a quantumfield theory. First, we construct a Fock space compatible with the twisting andthe corresponding creation and annihilation operators. Then, we show that acovariant field linear in creation and annihilation operators does not exist.Relaxing the linearity condition, a covariant field can be determined. We showthat it is related to the untwisted field by a unitary transformation and theresulting n-point functions coincide with the untwisted ones. We also show thatinvariance under the twisted symmetry can be realized using the covariant fieldwith the usual product or by a non-covariant field with a Moyal product. Theresulting S-matrix elements are shown to coincide with the untwisted ones up toa momenta dependent phase.Comment: 11 pages, references adde

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