We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Spontaneously broken boosts and the Goldstone continuum.
- Authors
Alberte, Lasma; Nicolis, Alberto
- Abstract
The spontaneous breaking of boost invariance is ubiquitous in nature, yet the associated Goldstone bosons are nowhere to be seen. We discuss why some subtleties are to be expected in the Goldstone phenomenon for spontaneously broken boosts, and derive the corresponding quantum mechanical, non-perturbative Goldstone theorem. Despite similarities with more standard Goldstone theorems, we show by examples that ours can be obeyed by quite unusual spectra of low-energy excitations. In particular, for non- relativistic Fermi liquids, we prove that it is obeyed by the particle-hole continuum. To the best of our knowledge, this is the first example of a Goldstone theorem obeyed by a continuum rather than by (approximately stable) single-particle Goldstone boson states in an interacting theory at zero temperature.
- Subjects
FERMI liquids; NAMBU-Goldstone bosons; SPACE-time symmetries; EXCITATION spectrum; SYMMETRY breaking
- Publication
Journal of High Energy Physics, 2020, Vol 2020, Issue 7, pN.PAG
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP07(2020)076