We consider the noncommutative space ℝ3λ, a deformation of the algebra of functions on ℝ3 which yields a foliation of ℝ3 into fuzzy spheres. We first review the construction of a natural matrix basis adapted to ℝ3λ. We thus consider the problem of defining a new Laplacian operator for the deformed algebra. We propose an operator which is not of Jacobi type. The implication for field theory of the new Laplacian is briefly discussed.
Noncommutative field theory on R3lambda / Vitale, Patrizia. - In: FORTSCHRITTE DER PHYSIK. - ISSN 1521-3978. - 62:(2014), pp. 825-834. [10.1002/prop.201400037]
Noncommutative field theory on R3lambda
VITALE, PATRIZIA
2014
Abstract
We consider the noncommutative space ℝ3λ, a deformation of the algebra of functions on ℝ3 which yields a foliation of ℝ3 into fuzzy spheres. We first review the construction of a natural matrix basis adapted to ℝ3λ. We thus consider the problem of defining a new Laplacian operator for the deformed algebra. We propose an operator which is not of Jacobi type. The implication for field theory of the new Laplacian is briefly discussed.File in questo prodotto:
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