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Eigenvalue distributions from a star product approach
Eigenvalue distributions star product approach Mathematical Physics
2012/6/21
We use the well-known isomorphism between operator algebras and function spaces equipped with a star product to study the asymptotic properties of certain matrix sequences in which the matrix dimensio...
An invariant formula for a star product with separation of variables
deformation quantization with separation of variables Kahler connection covariant tensors
2011/9/22
Abstract: We give an invariant formula for a star product with separation of variables on a pseudo-Kahler manifold.
Spinors and Voros star-product for Group Field Theory: First Contact
Spinors Voros star-product Group Field Theory General Relativity and Quantum Cosmology
2011/10/10
Abstract: In the context of non-commutative geometries, we develop a group Fourier transform for the Lie group SU(2). Our method is based on the Schwinger representation of the Lie algebra su(2) in te...
We apply the star product quantization to the Lie algebra. The quantization in terms of the star product is well known and the commutation relation in this case is called the $\theta$-deformation wher...
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...