Hagedorn transition and topological entanglement entropy

doi:http://dx.doi.org/10.1016/j.nuclphysb.2016.04.037

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	Hagedorn transition and topological entanglement entropy
	Zuo, F ; Gao, YH
刊名	NUCLEAR PHYSICS B
	2016
卷号	907 页码:764-784
关键词	LATTICE GAUGE-THEORY PHASE-TRANSITION THERMODYNAMICS DUALITY FIELDS SPACE QCD
DOI	http://dx.doi.org/10.1016/j.nuclphysb.2016.04.037
英文摘要	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.
学科主题	Physics
语种	英语
资助机构	National Natural Science Foundation of China [11405065, 11445001]
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23155]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China 2.Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Peoples R China
推荐引用方式 GB/T 7714	Zuo, F,Gao, YH. Hagedorn transition and topological entanglement entropy[J]. NUCLEAR PHYSICS B,2016,907:764-784.
APA	Zuo, F,&Gao, YH.(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.