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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...
Casimir Effect for Differential Forms in Real Compact Hyperbolic Spaces
Casimir Effect Differential Forms Real Compact Hyperbolic Spaces
2010/10/18
We calculate the Casimir energy associated with abelian gauge fields in real compact hyperbolic spaces. The cosmological applications of the vacuum energies are briefly considered.