Multicritical Symmetry Breaking and Naturalness of Slow Nambu-Goldstone Bosons

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.

5 pages, 1 figure; v2: minor typos corrected, references added

References in corpus (7)

• Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Lorentz symmetry breaking as a quantum field theory regulator
• Redundancies in Nambu-Goldstone Bosons
• Renormalization group in Lifshitz-type theories
• General Covariance in Gravity at a Lifshitz Point
• Competing interactions and the Lifshitz-type Nonlinear Sigma Model

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