Noncommutative Quantization for Noncommutative Field Theory

Abstract

We present a new procedure for quantizing field theory models on a noncommutative spacetime. The new quantization depends on the noncommutative parameter explicitly and reduces to the canonical quantization in the commutative limit. It is shown that a quantum field theory constructed by the new quantization yeilds exactly the same correlation functions as those of the commutative field theory, that is, the noncommutative effects disappear completely after quantization. This implies, for instance, that by using the new quantization, the noncommutativity can be incorporated in the process of quantization, rahter than in the action as conventionally done.

21 pages, latex, added references and comments

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Cited by in corpus (11)

• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Braided quantum field theories and their symmetries
• On second quantization on noncommutative spaces with twisted symmetries
• QFT with Twisted Poincaré Invariance and the Moyal Product
• Duality and Braiding in Twisted Quantum Field Theory
• Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
• On the Correspondence between Poincaré Symmetry of Commutative QFT and Twisted Poincaré Symmetry of Noncommutative QFT
• Braided Tensor Products and the Covariance of Quantum Noncommutative Free Fields