Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory
arXiv:hep-th/0402212 · doi:10.1063/1.3567411
Abstract
We propose new Wightman functions as vacuum expectation values of products of field operators in the noncommutative space-time. These Wightman functions involve the -product among the fields, compatible with the twisted Poincaré symmetry of the noncommutative quantum field theory (NC QFT). In the case of only space-space noncommutativity (), we prove the CPT theorem using the noncommutative form of the Wightman functions. We also show that the spin-statistics theorem, demonstrated for the simplest case of a scalar field, holds in NC QFT within this formalism.
16 pages, version to appear in J. Math. Phys
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