Dynamical noncommutativity and Noether theorem in twisted phi***4 theory
Mar, 2008
15 pages
Published in:
- Lett.Math.Phys. 85 (2008) 39-53
e-Print:
- 0803.4325 [hep-th]
Report number:
- DISTA-UPO-08
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Abstract: (arXiv)
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.- dynamical noncommutativity
- Noether theorem
- twisted star products
- deformed field theories
- quantum geometry
- phi**n model: 4
- twist
- noncommutative
- current: conservation law
- symmetry: space-time
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