Fuzzy CP2
High Energy Physics - Theory
2008-11-26 v2 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Quantum Algebra
Abstract
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. Its Dirac operator has many unique features. They are explained and their fuzzy versions are described.
Cite
@article{arxiv.hep-th/0103023,
title = {Fuzzy CP2},
author = {G. Alexanian and A. P. Balachandran and G. Immirzi and B. Ydri},
journal= {arXiv preprint arXiv:hep-th/0103023},
year = {2008}
}
Comments
32 pages,LaTeX; References added and several typos corrected