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arXiv 0803.4325hep-th
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Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory

Paolo Aschieri, Leonardo Castellani, Marija Dimitrijevic

英文摘要:

A \star-product is defined via a set of commuting vector fields X_a = e_a^μ(x) \partial_μ, and used in a phi^*4 theory coupled to the e_a^μ(x) fields. The \star-product is dynamical, and the vacuum solution phi =0, e_a^μ(x)=delta_a^μreproduces the usual Moyal product. The action is invariant under rigid translations and Lorentz rotations, and the conserved energy-momentum and angular momentum tensors are explicitly derived.

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