c-theorem of the entanglement entropy
| Autor: | Jung Hun Lee, Daeho Ro, Chanyong Park |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Phase transition 010308 nuclear & particles physics Conformal field theory Holography FOS: Physical sciences Renormalization group flow Monotonic function Quantum entanglement AdS-CFT Correspondence Fixed point 01 natural sciences law.invention High Energy Physics - Theory (hep-th) law C-theorem 0103 physical sciences lcsh:QC770-798 Renormalization Group lcsh:Nuclear and particle physics. Atomic energy. Radioactivity 010306 general physics Mathematical physics |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2018, Iss 11, Pp 1-23 (2018) |
| Popis: | We holographically investigate the renormalization group flow in a two-dimensional conformal field theory deformed by a relevant operator. If the relevant operator allows another fixed point, the UV conformal field theory smoothly flows to a new IR conformal field theory. From the holographic point of view, such a renormalization group flow can be realized as a dual geometry interpolating two different AdS boundaries. On this interpolating geometry, we investigate how the c-function of the entanglement entropy behaves along the RG flow analyt- ically and numerically, which reproduces the expected central charges of UV and IR. We also show that the c-function monotonically decreases from UV to IR without any phase transition. Comment: 24 pages, 8 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|