Solidity without inhomogeneity: Perfectly homogeneous, weakly coupled, UV-complete solids
arXiv:2004.11386 · doi:10.1007/JHEP11(2020)021
Abstract
Solid-like behavior at low energies and long distances is usually associated with the spontaneous breaking of spatial translations at microscopic scales, as in the case of a lattice of atoms. We exhibit three quantum field theories that are renormalizable, Poincaré invariant, and weakly coupled, and that admit states that on the one hand are perfectly homogeneous down to arbitrarily short scales, and on the other hand have the same infrared dynamics as isotropic solids. All three examples presented here lead to the same peculiar solid at low energies, featuring very constrained interactions and transverse phonons that always propagate at the speed of light. In particular, they violate the well known bound, thus showing that it is possible to have a healthy renormalizable theory that at low energies exhibits a negative bulk modulus (we discuss how the associated instabilities are absent in the presence of suitable boundary conditions). We do not know whether such peculiarities are unavoidable features of large scale solid-like behavior in the absence of short scale inhomogeneities, or whether they simply reflect the limits of our imagination.
arXiv comment23 pages
References in corpus (28)
- Causality, Analyticity and an IR Obstruction to UV Completion
- Null energy condition and superluminal propagation
- Solid Inflation
- Holography without translational symmetry
- Momentum relaxation in holographic massive gravity
- Relativistic Fluids, Superfluids, Solids and Supersolids from a Coset Construction
- Holographic Phonons
- Thermo-electric transport in gauge/gravity models with momentum dissipation
- Viscosity bound violation in holographic solids and the viscoelastic response
- Solid Holography and Massive Gravity
- Dark-Energy Instabilities induced by Gravitational Waves
- Primordial gravitational waves in supersolid inflation
- DC resistivity of quantum critical, charge density wave states from gauge-gravity duality
- A holographic perspective on phonons and pseudo-phonons
- Phonons as Goldstone Bosons
- Universal relaxation in a holographic metallic density wave phase
- Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation
- Diffusion and universal relaxation of holographic phonons
- Longitudinal Sound and Diffusion in Holographic Massive Gravity
- The gravitational mass carried by sound waves
- A simple holographic model for spontaneous breaking of translational symmetry
- Coherent vs incoherent transport in holographic strange insulators
- Elasticity bounds from Effective Field Theory
- Spatially Modulated Vacua in a Lorentz-invariant Scalar Field Theory
- Simplest phonons and pseudo-phonons in field theory
- Platonic solids back in the sky: Icosahedral inflation
- Phonon and Shifton from a Real Modulated Scalar
- Sound waves move matter