Spectral action on a fuzzy sphere

Details Spectral action on a fuzzy sphere Spectral action on a fuzzy sphere

Aug 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cqgra..26o5008w&link_type=abstract

Classical and Quantum Gravity, Volume 26, Issue 15, pp. 155008 (2009).

Physics

1

Scientific paper

In this paper, the spectral action for the free Dirac operator on a fuzzy 2-sphere is considered, based on the known results. We show that from the spectral point of view, the behavior of the fuzzy sphere can be divided into three regimes: the classical regime, the quasi-classical regime and the fuzzy regime. We also consider its application to quantum cosmology.

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