Dynamical noncommutativity and noether theorem in twisted φ^*4 theory

Abstract

A *-product is defined via a set of commuting vector fields X a = eaμ(x)∂μ, and used in a φ*4 theory coupled to the eaμ(x) fields. The *-product is dynamical, and the vacuum solution φ = 0, eaμ= δa μ 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. © 2008 Springer.