Quantum motion equation and Poincaré translation invariance of noncommutative field theory
نویسنده
چکیده
We study the Moyal commutators and their expectation values between vacuum states and non-vacuum states for noncommutative scalar field theory. For noncommutative φ⋆4 scalar field theory, we derive its energy-momentum tensor from translation transformation and Lagrange field equation. We generalize the Heisenberg and quantum motion equations to the form of Moyal star-products for noncommutative φ⋆4 scalar field theory for the case θ0i = 0 of spacetime noncommutativity. Then we demonstrate the Poincaré translation invariance for noncommutative φ⋆4 scalar field theory for the case θ0i = 0 of spacetime noncommutativity. PACS numbers: 11.10.Nx, 11.30.Cp
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تاریخ انتشار 2006