P
Peter Prešnajder
Researcher at Comenius University in Bratislava
Publications - 18
Citations - 357
Peter Prešnajder is an academic researcher from Comenius University in Bratislava. The author has contributed to research in topics: Noncommutative geometry & Magnetic monopole. The author has an hindex of 9, co-authored 18 publications receiving 345 citations. Previous affiliations of Peter Prešnajder include CINVESTAV.
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The origin of chiral anomaly and the noncommutative geometry
TL;DR: In this paper, the Schwinger model on a non-commutative sphere has been described and the model is quantized, and an exact expression for the chiral anomaly is found.
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Matrix φ4 models on the fuzzy sphere and their continuum limits
TL;DR: In this paper, it was shown that the UV/IR mixing problems for a scalar 4 theory on the fuzzy sphere are localized to tadpole diagrams and can be overcome by a suitable modification of the action.
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Fuzzy complex quadrics and spheres
TL;DR: In this article, a matrix algebra is constructed which consists of the necessary degrees of freedom for a finite approximation to the algebra of functions on the family of orthogonal grassmannians of real dimension 2N, known as complex quadrics.
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Dirac operators on coset spaces
TL;DR: The Dirac operator for a manifold Q, and its chirality operator when Q is even dimensional, have a central role in noncommutative geometry as discussed by the authors, and the theory of this operator is systematically developed when Q = G/H, where G and H are compact connected Lie groups and G is simple.
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Fuzzy Complex Quadrics and Spheres
TL;DR: In this article, a matrix algebra is constructed which consists of the necessary degrees of freedom for a finite approximation to the algebra of functions on the family of orthogonal Grassmannians of real dimension 2N, known as complex quadrics.