| Title: |
On entanglement c-functions in confining gauge field theories |
| Authors: |
Jokela, Niko; Kastikainen, Jani; Nunez, Carlos; Penín, José Manuel; Ruotsalainen, Helime; Subils, Javier G.; Sub String Theory Cosmology and ElemPart; Theoretical Physics |
| Publication Year: |
2025 |
| Subject Terms: |
AdS-CFT Correspondence; Confinement; Gauge-Gravity Correspondence; Nuclear and High Energy Physics |
| Description: |
Entanglement entropy has proven to be a powerful tool for probing renormalization group (RG) flows in quantum field theories, with c-functions derived from it serving as candidate measures of the effective number of degrees of freedom. While the monotonicity of such c-functions is well established in many settings, notable exceptions occur in theories with a mass scale. In this work, we investigate entanglement c-functions in the context of holographic RG flows, with a particular focus on flows across dimensions induced by circle compactifications. We argue that in spacetime dimensions d ≥ 4, standard constructions of c-functions, which rely on higher derivatives of the entanglement entropy of either a ball or a cylinder, generically lead to non-monotonic behavior. Working with known dual geometries, we argue that the non-monotonicity stems not from any pathology or curvature singularity, but from a transition in the holographic Ryu-Takayanagi surface. In compactifications from four to three dimensions, we propose a modified construction that restores monotonicity in the infrared, although a fully monotonic ultraviolet extension remains elusive. Furthermore, motivated by entanglement entropy inequalities, we conjecture a bound on the cylinder entanglement c-function, which holds in all our examples. |
| Document Type: |
article in journal/newspaper |
| File Description: |
application/pdf |
| Language: |
English |
| ISSN: |
1126-6708 |
| Relation: |
https://dspace.library.uu.nl/handle/1874/479709 |
| Availability: |
https://dspace.library.uu.nl/handle/1874/479709 |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.8AF251D9 |
| Database: |
BASE |