Emergent Lorentz invariance from Strong Dynamics: Holographic examples

Abstract

We explore the phenomenon of emergent Lorentz invariance in strongly coupled theories. The strong dynamics is handled using the gauge/gravity correspondence. We analyze how the renormalization group flow towards Lorentz invariance is reflected in the two-point functions of local operators and in the dispersion relations of the bound states. The deviations of these observables from the relativistic form at low energies are found to be power-law suppressed by the ratio of the infrared and ultraviolet scales. We show that in a certain subclass of models the velocities of the light bound states stay close to the emergent `speed of light' even at high energies. We comment on the implications of our results for particle physics and condensed matter.

47 pages, 4 figures. References added. Typo in figure 1 fixed

References in corpus (13)

• Effective Holographic Theories for low-temperature condensed matter systems
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Theory of interacting electrons on the honeycomb lattice
• On the Extra Mode and Inconsistency of Horava Gravity
• Black holes in asymptotically Lifshitz spacetime
• Lifshitz Gravity for Lifshitz Holography
• Renormalization group in Lifshitz-type theories
• Quantum critical lines in holographic phases with (un)broken symmetry
• Pathologies in Asymptotically Lifshitz Spacetimes
• Non-relativistic holography from Horava gravity
• String theory embeddings of non-relativistic field theories and their holographic Horava gravity duals
• Lorentz violation, Gravity, Dissipation and Holography
• Boundary conditions for scalars in Lifshitz

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