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Zuo, F; Gao, YH; Zuo, F (reprint author), Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Peoples R China.
Hagedorn transition and topological entanglement entropy
Source PublicationNUCLEAR PHYSICS B
Language英语
AbstractInduced by the Hagedorn instability, weakly-coupled U (N) gauge theories on a compact manifold exhibit a confinement/deconfinement phase transition in the large-N limit. Recently we discover that the thermal entropy of a free theory on S-3 gets reduced by a universal constant term, -N-2/4, compared to that from completely deconfined colored states. This entropy deficit is due to the persistence of Gauss's law, and actually independent of the shape of the manifold. In this paper we show that this universal term can be identified as the topological entangle entropy both in the corresponding 4 + 1D bulk theory and the dimensionally reduced theory. First, entanglement entropy in the bulk theory contains the so-called "particle" contribution on the entangling surface, which naturally gives rise to an area-law term. The topological term results from the Gauss's constraint of these surface states. Secondly, the high-temperature limit also defines a dimensionally reduced theory. We calculate the geometric entropy in the reduced theory explicitly, and find that it is given by the same constant term after subtracting the leading term of O(beta(-1)). The two procedures are then applied to the confining phase, by extending the temperature to the complex plane. Generalizing the recently proposed 2D modular description to an arbitrary matter content, we show the leading local term is missing and no topological term could be definitely isolated. For the special case of N = 4 super Yang Mills theory, the results obtained here are compared with that at strong coupling from the holographic derivation. (C) 2016 The Authors. Published by Elsevier B.V.
2016
Volume907Pages:764-784
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1016/j.nuclphysb.2016.04.037
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11405065, 11445001] ; National Natural Science Foundation of China [11405065, 11445001] ; National Natural Science Foundation of China [11405065, 11445001] ; National Natural Science Foundation of China [11405065, 11445001]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21636
Collection理论物理所科研产出_SCI期刊论文
Corresponding AuthorZuo, F (reprint author), Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Peoples R China.
Recommended Citation
GB/T 7714
Zuo, F,Gao, YH,Zuo, F . Hagedorn transition and topological entanglement entropy[J]. NUCLEAR PHYSICS B,2016,907:764-784.
APA Zuo, F,Gao, YH,&Zuo, F .(2016).Hagedorn transition and topological entanglement entropy.NUCLEAR PHYSICS B,907,764-784.
MLA Zuo, F,et al."Hagedorn transition and topological entanglement entropy".NUCLEAR PHYSICS B 907(2016):764-784.
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