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Hagedorn transition and topological entanglement entropy
Zuo, F; Gao, YH; Zuo, F (reprint author), Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Peoples R China.
2016
发表期刊NUCLEAR PHYSICS B
卷号907页码:764-784
文章类型Article
摘要Induced 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.
学科领域Physics
资助者National 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]
DOIhttp://dx.doi.org/10.1016/j.nuclphysb.2016.04.037
关键词[WOS]LATTICE GAUGE-THEORY ; PHASE-TRANSITION ; THERMODYNAMICS ; DUALITY ; FIELDS ; SPACE ; QCD
收录类别SCI
语种英语
资助者National 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]
WOS类目Physics, Particles & Fields
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21636
专题理论物理所2016年知识产出
通讯作者Zuo, F (reprint author), Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Peoples R China.
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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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