IR physics from the holographic RG flow
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916514882387968 |
|---|---|
| author | Park, Chanyong Lee, Jung Hun |
| author_facet | Park, Chanyong Lee, Jung Hun |
| contents | We use the holographic method to investigate an RG flow and IR physics of a two-dimensional conformal field theory (CFT) deformed by a relevant scalar operator. On the dual gravity side, a renormalization group (RG) flow from a UV to IR CFT can be described by rolling a scalar field from an unstable to a stable equilibrium point. After considering a simple scalar potential allowing several local equilibrium points, we study the change of a coupling constant and ground state from the momentum-space and real-space RG flow viewpoints. For the real-space RG flow, we calculate the entanglement entropy as a function of a coupling constant and then explicitly show that the entanglement entropy diverges logarithmically at fixed points due to the restoration of conformal symmetry. We further study how the change of a ground state affects the two-point function and conformal dimension of a local operator numerically and analytically in the probe limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17221 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | IR physics from the holographic RG flow Park, Chanyong Lee, Jung Hun High Energy Physics - Theory We use the holographic method to investigate an RG flow and IR physics of a two-dimensional conformal field theory (CFT) deformed by a relevant scalar operator. On the dual gravity side, a renormalization group (RG) flow from a UV to IR CFT can be described by rolling a scalar field from an unstable to a stable equilibrium point. After considering a simple scalar potential allowing several local equilibrium points, we study the change of a coupling constant and ground state from the momentum-space and real-space RG flow viewpoints. For the real-space RG flow, we calculate the entanglement entropy as a function of a coupling constant and then explicitly show that the entanglement entropy diverges logarithmically at fixed points due to the restoration of conformal symmetry. We further study how the change of a ground state affects the two-point function and conformal dimension of a local operator numerically and analytically in the probe limit. |
| title | IR physics from the holographic RG flow |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.17221 |