Noncommutative Quantization for Noncommutative Field Theory

We present a new procedure for quantizing field theory models on a noncommutative space-time. The new quantization depends on the noncommutative parameter explicitly and reduces to the canonical quantization in the commutative limit. It is shown that a QFT constructed by the new quantization yields...

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Veröffentlicht in:Progress of theoretical physics. Supplement 2007-01, Vol.171, p.61-64
1. Verfasser: Abe, Yasumi
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description We present a new procedure for quantizing field theory models on a noncommutative space-time. The new quantization depends on the noncommutative parameter explicitly and reduces to the canonical quantization in the commutative limit. It is shown that a QFT constructed by the new quantization yields exactly the same correlation functions as those of the commutative field theory, that is, the noncommutative effects disappear completely after quantization. In addition, it is proved that the Poincaré symmetry of the commutative QFT corresponds to the twisted Poincaré symmetry for new QFT.
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title Noncommutative Quantization for Noncommutative Field Theory
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