منابع مشابه
Topological ZN+1 Charges on Fuzzy Sphere
We study the topological properties on fuzzy sphere. We show that the topological charge is only defined modulo N + 1, that is finite integer quotient ZN+1, where N is a cut-off spin of fuzzy sphere. This periodic structure on topological charges is shown based on the boson realizations of SU(2) algebra, Schwinger vs. Holstein-Primakoff. We argue that this result can have a natural K-theory int...
متن کاملMatrix Models on the Fuzzy Sphere
Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this point of view the scalar φ theory. We demonstrate that the UV/IR mixing problems of this theory are localized to the tadpole diagrams and can be removed by an appropiate (fuzzy) normal ordering of the φ vertex. The pert...
متن کاملThe Dirac operator on the fuzzy sphere
We introduce the Fuzzy analog of spinor bundles over the sphere on which the non-commutative analog of the Dirac operator acts. We construct the complete set of eigenstates including zero modes. In the commutative limit we recover known results. *) Part of Project Nr. P8916-PHY of the " Fonds zur Förderung der wissenschaftlichen Forschung in¨Osterreich " .
متن کاملChiral Anomaly on Fuzzy 2-Sphere
We investigate chiral anomaly for fermions in fundamental representation on noncommutative (fuzzy) 2-sphere. In spite that this system is realized by finite dimensional matrices and no regularization is necessary for either UV or IR, we can reproduce the correct chiral anomaly which is consistent with the calculations done in flat noncommutative space. Like the flat case, there are ambiguities ...
متن کاملScalar Multi-solitons on the Fuzzy Sphere
We study solitons in scalar theories with polynomial interactions on the fuzzy sphere. Such solitons are described by projection operators of rank k, and hence the moduli space for the solitons is the Grassmannian Gr(k, 2j+1). The gradient term of the action provides a non-trivial potential on Gr(k, 2j+1), thus reducing the moduli space. We construct configurations corresponding to wellseparate...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2002
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2002/07/064