1. Solidity without inhomogeneity: Perfectly homogeneous, weakly coupled, UV-complete solids
- Author
-
Alberto Nicolis, Angelo Esposito, and Rafael Krichevsky
- Subjects
Global Symmetries ,High Energy Physics - Theory ,Nuclear and High Energy Physics ,Phonon ,low energies ,FOS: Physical sciences ,Solid ,effective theory ,01 natural sciences ,Lattice (order) ,Quantum mechanics ,0103 physical sciences ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,Boundary value problem ,Quantum field theory ,010306 general physics ,Physics ,Bulk modulus ,010308 nuclear & particles physics ,Isotropy ,Space-Time Symmetries ,Effective Field Theories ,Invariant (physics) ,Condensed Matter - Other Condensed Matter ,Transverse plane ,High Energy Physics - Theory (hep-th) ,lcsh:QC770-798 ,Other Condensed Matter (cond-mat.other) - 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, Poincar�� 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 $c_L^2 > \frac{4}{3} c_T^2$ 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., 23 pages
- Published
- 2020