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Metric Properties of the Fuzzy Sphere

The fuzzy sphere, as a quantum metric space, carries a sequence of metrics which we describe in detail. We show that the Bloch coherent states, with these spectral distances, form a sequence of metric spaces that converge to the round sphere in the high-spin limit.
It is common practice in several fields to "approximate: a manifold with a finite or countable subset of its points. A typical example in particle physics is the study of quantum field theories on a lattice: although they can be as difficult as continuous theories, they are of great interest since they can be studied with computer simulations.

Từ khóa: Mathematical Physics, High Energy Physics, lý thuyết vật lý năng lượng cao, Operator algebras, quantum physics, vật lý lượng tử

26 p conhi 25/09/2012 152 1

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