Dynamical noncommutativity and Noether theorem in twisted phi*4 theory
Abstract
A -product is defined via a set of commuting vector fields Xa = eaμ (x) ∂μ, and used in a phi*4 theory coupled to the eaμ (x) fields. The -product is dynamical, and the vacuum solution phi =0, eaμ (x)=deltaaμ reproduces 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.
0