Bibliographic Details
| Title: |
Near-Schr\'odinger dynamics at large charge |
| Authors: |
Orlando, Domenico, Pellizzani, Vito, Reffert, Susanne |
| Source: |
Phys. Rev. D 103, 105018 (2021) |
| Publication Year: |
2020 |
| Collection: |
High Energy Physics - Theory |
| Subject Terms: |
High Energy Physics - Theory |
| More Details: |
In this note we discuss a non-relativistic system at large charge in a regime where Schr\"odinger symmetry is slightly broken by an explicit mass term for the dilaton field which non-linearly realizes non-relativistic scale invariance. To get there, we first develop the large-charge formalism from the linear sigma model perspective, including the harmonic trapping potential necessary for the non-relativistic state-operator correspondence. As a signature of the explicit breaking, we identify a $\sqrt{Q}\log{Q}$ term, which depending on the space dimension is either of the same order as the effects coming from the breakdown of the EFT at the edge of the particle cloud, or can be distinguished from these effects over a large range of orders of magnitude.
Comment: Matches published version in PRD |
| Document Type: |
Working Paper |
| DOI: |
10.1103/PhysRevD.103.105018 |
| Access URL: |
http://arxiv.org/abs/2010.07942 |
| Accession Number: |
edsarx.2010.07942 |
| Database: |
arXiv |
