Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory

Details Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory

2008-03-30

arxiv.org/abs/0803.4325v2

Lett.Math.Phys.85:39-53,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages LaTeX, minor typos, added references

Scientific paper

10.1007/s11005-008-0247-6

A \star-product is defined via a set of commuting vector fields X_a = e_a^\mu (x) \partial_\mu, and used in a phi^*4 theory coupled to the e_a^\mu (x) fields. The \star-product is dynamical, and the vacuum solution phi =0, e_a^\mu (x)=delta_a^\mu 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.

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