1995/10/13 by H. Grosse, C. Klimcik, C. Klimčík +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Commutative property #Field (mathematics) #Homogeneous space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Quantum differential calculus #Spinor #Spinor field #hep-th
paper · pdf · doi:10.1007/bf02099460
published as Commun.Math.Phys. 178 (1996) 507-526 · 27 pages, LaTeX (normalization coefficients in Eqs. (93) corrected)
arxiv created 1995/10/13 · openalex publication_date 1996/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the framework of noncommutative geometry we describe spinor fields with nonvanishing winding number on a truncated (fuzzy) sphere. The corresponding field theory actions conserve all basic symmetries of the standard commutative version (space isometries and global chiral symmetry), but due to the noncommutativity of the space the fields are regularized and they contain only finite number of modes.