Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
arXiv:0803.4325 · doi:10.1007/s11005-008-0247-6
Abstract
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.
15 pages LaTeX, minor typos, added references