Subregion complexity and confinement-deconfinement transition in a holographic QCD model

DOI10.1016/J.NUCLPHYSB.2018.11.003zbMATH Open1405.81173arXiv1808.08719OpenAlexW2888207863WikidataQ128925120 ScholiaQ128925120MaRDI QIDQ1710173

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Publication date: 15 January 2019

Published in: (Search for Journal in Brave)

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 $hatcalC$ versus the subregion length scale $ell$, we find that for both cases, $hatcalC$ always experiences a discontinuity at certain critical value $el{l}_c$ 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 $hatcalC$ versus the temperature and chemical potential is also investigated and our results show that $hatcalC$ exhibits behavior characterizing the type of the transition. That is, it experiences a discontinuity at the transition temperature for $mu<m{u}_c$ where first-order confinement-deconfinement phase transition happens, while it is always continuous for $mu>m{u}_c$ 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.

Full work available at URL: https://arxiv.org/abs/1808.08719

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