Soft phonon theorems
-
1.
California Institute of Technology
Abstract
A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincaré symmetry. In this paper we derive new soft theorems constraining the tree-level scattering of these degrees of freedom, as exhibited in solids, fluids, superfluids, and framids. These soft theorems are in one-to-one correspondence with various broken symmetries, including spacetime translations, Lorentz boosts, and, for the case of fluids, volume-preserving diffeomorphisms. We also implement a bootstrap in which the enhanced vanishing of amplitudes in the soft limit is taken as an input, thus sculpting out a subclass of exceptional solid, fluid, and framid theories.
Copyright and License
© The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3.
Acknowledgement
We are grateful to Tomas Brauner, James Mangan, Ira Rothstein, and Chia-Hsien Shen for useful discussions and comments on the paper. This work is supported by the DOE under grant no. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics. J.P.-M. is also supported in part by the NSF under Grant No. NSF PHY-1748958 and would like to thank Institut des Hautes Études Scientifiques, the Korea Institute for Advanced Study, and the Kavli Institute for Theoretical Physics for hospitality while this work was being completed.
Files
JHEP08(2023)103.pdf
Files
(482.7 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:20cc7c89dc851e5a822a1b1e289b9fa6
|
482.7 kB | Preview Download |
Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2301.11363 (arXiv)
Funding
- United States Department of Energy
- DE-SC0011632
- California Institute of Technology
- Walter Burke Institute for Theoretical Physics -
- National Science Foundation
- PHY-1748958
- SCOAP3
Dates
- Accepted
-
2023-08-03
- Available
-
2023-08-17Published online