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arXiv · 1308.5967

Multicritical Symmetry Breaking and Naturalness of Slow Nambu-Goldstone Bosons

Tom Griffin·Kevin T. Grosvenor·Petr Horava·Ziqi Yan
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Abstract

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.

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Tom Griffin, Kevin T. Grosvenor, Petr Horava, Ziqi Yan. 2013-09-02. Multicritical Symmetry Breaking and Naturalness of Slow Nambu-Goldstone Bosons. https://doi.org/10.1103/physrevd.88.101701

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