Twisted Noncommutative Field Theory: Wick-Voros vs Moyal

Physics – High Energy Physics – High Energy Physics - Theory

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This paper was merged with arXiv:0807.1492 and has become arXiv:0810.2095. This has been published in Physical Review D 78.085

Scientific paper

We present a comparison of the noncommutative field theories built using two different star products: Moyal and Wick-Voros (or normally ordered). We compare the two theories in the context of the noncommutative geometry determined by a Drinfeld twist, and the comparison is made at the level of Green's functions and S-matrix. We find that while the Green's functions are different for the two theories, the S-matrix is the same in both cases, and is different from the commutative case.

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