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Multicritical Symmetry Breaking and Naturalness of Slow Nambu-Goldstone Bosons (1308.5967v2)

Published 27 Aug 2013 in hep-th, cond-mat.str-el, cond-mat.supr-con, gr-qc, and hep-ph

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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