Quantum motion equation and Poincare translation invariance of noncommutative field theory

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dc.creatorMa, Zheng Ze
dc.date2006-01-08
dc.date2006-03-16
dc.date.accessioned2026-07-07T06:58:16Z
dc.date.available2026-07-07T06:58:16Z
dc.descriptionWe study the Moyal commutators and their expectation values between vacuum states and non-vacuum states for noncommutative scalar field theory. For noncommutative $ϕ^{\star4}$ 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 $ϕ^{\star4}$ scalar field theory for the case $θ^{0i}=0$ of spacetime noncommutativity. Then we demonstrate the Poincar{\' e} translation invariance for noncommutative $ϕ^{\star4}$ scalar field theory for the case $θ^{0i}=0$ of spacetime noncommutativity.
dc.description23 pages, Latex, v2: some content changed in section 4, v3, v4: some argument improved in section 4, some references added
dc.identifierhttps://arxiv.org/abs/hep-th/0601042
dc.identifierhttp://arxiv.org/abs/hep-th/0601042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107294
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum motion equation and Poincare translation invariance of noncommutative field theory
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