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Multicritical Symmetry Breaking and Naturalness of Slow Nambu-Goldstone Bosons

We investigate spontaneous global symmetry breaking in the absence of Lorentz invariance, and study technical Naturalness of Nambu-Goldstone (NG) modes whose dispersion relation exhibits a hierarchy of multicritical phenomena with Lifshitz scaling and dynamical exponents $z>1$. For example, we find NG modes with a technically natural quadratic dispersion relation which do not break time reversal symmetry and are associated with a single broken symmetry generator, not a pair. The mechanism is protected by an enhanced `polynomial shift' symmetry in the free-field limit.

preprint2013arXivOpen access
Tom GriffinKevin T. GrosvenorPetr HoravaZiqi Yan
cond-mat.supr-concond-mat.str-elhep-phgr-qchep-th
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Tom GriffinKevin T. GrosvenorPetr HoravaZiqi Yan

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