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arXiv · 1108.3320

Topological stability of broken symmetry on fuzzy spheres

S. Digal·T. R. Govindarajan
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Abstract

We study the spontaneous symmetry breaking of O(3) scalar field on a fuzzy sphere $S_F^2$. We find that the fluctuations in the background of topological configurations are finite. This is in contrast to the fluctuations around a uniform configuration which diverge, due to Mermin-Wagner-Hohenberg-Coleman theorem, leading to the decay of the condensate. Interesting implications of enhanced topological stability of the configurations are pointed out.

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S. Digal, T. R. Govindarajan. 2012-04-24. Topological stability of broken symmetry on fuzzy spheres. https://doi.org/10.1142/s0217732312500824

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