Noncommutative field theory on ℝ3λ. Issue 9 (20th May 2014)

• Record Type: Journal Article
• Authors: Vitale, P.
• Other Names: Anagnostopoulos Konstantinos sponsoringEditor.; Lechtenfeld Olaf sponsoringEditor.; Lüst Dieter sponsoringEditor.; Kawai Hikaru sponsoringEditor.; Nishimura Jun sponsoringEditor.; Steinacker Harold sponsoringEditor.; Szabo Richard sponsoringEditor.; Watamura Satoshi sponsoringEditor.; Zoupanos George sponsoringEditor.
• Is Part Of: Fortschritte der Physik. Volume 62:Issue 9/10(2014)
• Page Start: 825
• Page End: 834
• Publication Date: 2014-05-20
• Subjects: Noncommutative quantum field theory -- matrix models.; Physics -- Periodicals; 530.05
• DOI: 10.1002/prop.201400037
• Languages: English
• ISSNs: 0015-8208

Abstract

Abstract: We consider the noncommutative space ℝ 3 λ, a deformation of the algebra of functions on ℝ 3 which yields a foliation of ℝ 3 into fuzzy spheres. We first review the construction of a natural matrix basis adapted to ℝ 3 λ . 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.