Subregion complexity and confinement-deconfinement transition in a holographic QCD model
Abstract
We study the subregion complexity in a semi-analytical holographic QCD model. Two cases with different warped factor are considered and both can realize confinement-deconfinement transition. By studying the behavior of the renormalized holographic complexity density C ˆ versus the subregion length scale ℓ, we find that for both cases, C ˆ always experiences a discontinuity at certain critical value ℓc in confinement phases, while it is always continuous in deconfinement phases. This property may be seen as a signal to characterize confinement or deconfinement phases. The behavior of C ˆ versus the temperature and chemical potential is also investigated and our results show that C ˆ exhibits behavior characterizing the type of the transition. That is, it experiences a discontinuity at the transition temperature for μ <μc where first-order confinement-deconfinement phase transition happens, while it is always continuous for μ >μc where the transition turns into a turnover. These results imply that the renormalized holographic complexity density may be used as a good parameter to characterize the corresponding phase structures.
- Publication:
-
Nuclear Physics B
- Pub Date:
- January 2019
- DOI:
- 10.1016/j.nuclphysb.2018.11.003
- arXiv:
- arXiv:1808.08719
- Bibcode:
- 2019NuPhB.938..154Z
- Keywords:
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- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- v1:21 pages, 8 figures