Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
High Energy Physics - Theory
2008-11-26 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0803.4325,
title = {Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory},
author = {Paolo Aschieri and Leonardo Castellani and Marija Dimitrijevic},
journal= {arXiv preprint arXiv:0803.4325},
year = {2008}
}
Comments
15 pages LaTeX, minor typos, added references