Topologically nontrivial field configurations in noncommutative geometry
Copyright policy )Topologically nontrivial field configurations in noncommutative geometry
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.
27 pages, LaTeX (normalization coefficients in Eqs. (93) corrected)
- Comenius University Slovakia
- University of Vienna Austria
- European Organization for Nuclear Research Switzerland
58B30, High Energy Physics - Theory, spinor fields, nonvanishing winding number, FOS: Physical sciences, 81R25, Noncommutative topology, High Energy Physics - Theory (hep-th), 81T40, 81T60, Noncommutative differential geometry, noncommutative geometry
58B30, High Energy Physics - Theory, spinor fields, nonvanishing winding number, FOS: Physical sciences, 81R25, Noncommutative topology, High Energy Physics - Theory (hep-th), 81T40, 81T60, Noncommutative differential geometry, noncommutative geometry
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