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Swirling around the planet’s equator, the rings of Saturn are a dead giveaway that the planet is spinning at a tilt. The belted giant rotates at a 26.7-degree angle relative to the plane in which it o...
Noncommutative gauge theory using covariant star product defined between Lie valued differential forms
covariant star product differential forms symplectic manifold
2010/3/18
We develop an internal gauge theory using a covariant star product. The space-time is a symplectic manifold endowed only with torsion but no curvature. It is shown that, in order to assure the restric...
Covariant star product on symplectic and Poisson spacetime manifolds
covariant Poisson bracket symplectic manifold deformation quantization
2010/3/18
A covariant Poisson bracket and an associated covariant star product in the sense of deformation quantization are defined on the algebra of tensor-valued differential forms on a symplectic manifold, a...