Spontaneous symmetry breakdown in fuzzy spheres
C.R. Das, S. Digal, T.R. Govindarajan
TL;DR
This paper investigates how spontaneous symmetry breaking occurs in fuzzy spheres, a noncommutative geometric setting, by analyzing scalar fields and Goldstone modes, highlighting the influence of nonlocal interactions.
Contribution
It provides a detailed analysis of symmetry breaking mechanisms on fuzzy spheres, emphasizing the role of nonlocal interactions and geometrical considerations.
Findings
Identification of Goldstone modes in fuzzy spheres
Role of nonlocal interactions in symmetry breaking
Geometrical analysis of noncommutative scalar fields
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.
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