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paper

Spontaneous symmetry breakdown in fuzzy spheres

arXiv:0801.4479 · doi:10.1142/S021773230902859X

Abstract

We study and analyse the questions regarding breakdown of global symmetry on noncommutative sphere. We demonstrate this by considering a complex scalar field on a fuzzy sphere and isolating Goldstone modes. We discuss the role of nonlocal interactions present in these through geometrical considerations.

8 pages, 7 figures