Fuzzy
| Autor: | A. P. Balachandran, G. Alexanian, Badis Ydri, Giorgio Immirzi |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Spacetime
010308 nuclear & particles physics General Physics and Astronomy Clifford analysis Topology Dirac operator 01 natural sciences Theoretical physics symbols.namesake Operator algebra Regularization (physics) 0103 physical sciences Homogeneous space symbols Geometry and Topology Quantum field theory 010306 general physics Mathematical Physics Mathematics Causal fermion system |
| Zdroj: | Journal of Geometry and Physics. 42:28-53 |
| ISSN: | 0393-0440 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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