New states of gauge theories on a circle

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	New states of gauge theories on a circle
	Azuma, T ; Morita, T ; Takeuchi, S
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2012
期号	10 页码:59
关键词	UNITARY MATRIX MODELS PHASE-TRANSITION BLACK-HOLE LATTICE
ISSN号	1126-6708
通讯作者	Azuma, T (reprint author), Setsunan Univ, Inst Fundamental Sci, 17-8 Ikeda Nakamachi, Osaka 5728508, Japan.
英文摘要	We study a one-dimensional large-N U(N) gauge theory on a circle as a toy model of higher dimensional Yang-Mills theories at finite temperature. To investigate the profile of the thermodynamical potential in this model, we evaluate a stochastic time evolution of several states, and find that an unstable confinement phase at high temperature does not decay to a stable deconfinement phase directly. Before it reaches the deconfinement phase, it develops to several intermediate states. These states are characterised by the expectation values of the Polyakov loop operators, which wind the temporal circle different times. We reveal that these intermediate states are the saddle point solutions of the theory, and similar solutions exist in a wide class of SU(N) and U(N) gauge theories on S-1 including QCD and pure Yang-Mills theories in various dimensions. We also consider a Kaluza-Klein gravity, which is the gravity dual of the one-dimensional gauge theory on a spatial S-1, and show that these solutions may be related to multi black holes localised on the S-1. Then we present a connection between the stochastic time evolution of the gauge theory and the dynamical decay process of a black string though the Gregory-Laflamme instability.
学科主题	Physics
收录类别	SCI
资助信息	JSPS [23740211]
原文出处	http://dx.doi.org/10.1007/JHEP10(2012)059
语种	英语
WOS记录号	WOS:000310851800008
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15014]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Azuma, T,Morita, T,Takeuchi, S. New states of gauge theories on a circle[J]. JOURNAL OF HIGH ENERGY PHYSICS,2012(10):59.
APA	Azuma, T,Morita, T,&Takeuchi, S.(2012).New states of gauge theories on a circle.JOURNAL OF HIGH ENERGY PHYSICS(10),59.
MLA	Azuma, T,et al."New states of gauge theories on a circle".JOURNAL OF HIGH ENERGY PHYSICS .10(2012):59.