Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-05
J.Geom.Phys.42:28-53,2002
Physics
High Energy Physics
High Energy Physics - Theory
32 pages,LaTeX; References added and several typos corrected
Scientific paper
10.1016/S0393-0440(01)00070-5
Regularization of quantum field theories (QFT's) can be achieved by quantizing the underlying manifold (spacetime or spatial slice) thereby replacing it by a non-commutative matrix model or a ``fuzzy manifold''. Such discretization by quantization is remarkably successful in preserving symmetries and topological features, and altogether overcoming the fermion-doubling problem. In this paper, we report on our work on the ``fuzzification'' of the four-dimensional CP2 and its QFT's. CP2 is not spin, but spin${}_c$. Its Dirac operator has many unique features. They are explained and their fuzzy versions are described.
Alexanian Garnik G.
Balachandran Aiyalam P.
Immirzi Giorgio
Ydri Badis
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