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Spontaneous magnetization of the O(3) ferromagnet at low temperatures

Spontaneous magnetization of the O(3) ferromagnet at low temperatures

We investigate the low-temperature behavior of ferromagnets with a spontaneously broken symmetry $\mathrm{O}(3)\ensuremath{\rightarrow}\mathrm{O}(2).$ The analysis is performed within the perspective of nonrelativistic effective Lagrangians, where the dynamics of the system is formulated in terms of Goldstone bosons. Unlike in a Lorentz-invariant framework (chiral perturbation theory), where loop graphs are suppressed …