Large-N CPN-1 sigma model on a finite interval and the renormalized string energy

doi:10.1007/JHEP01(2018)106

	Large-N CPN-1 sigma model on a finite interval and the renormalized string energy
	Betti, Alessandro 1; Bolognesi, Stefano 2,3; Gudnason, Sven Bjarke 4; Konishi, Kenichi 2,3; Ohashi, Keisuke 5
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2018-01-23
期号	1 页码:106
关键词	1/N Expansion Sigma Models Solitons Monopoles and Instantons
ISSN号	1029-8479
DOI	10.1007/JHEP01(2018)106
英文摘要	We continue the analysis started in a recent paper of the large-N two-dimensional CPN-1 sigma model, de fi ned on a fi nite space interval L with Dirichlet (or Neumann) boundary conditions. Here we focus our attention on the problem of the renormalized energy density epsilon (x, Lambda, L) which is found to be a sum of two terms, a constant term coming from the sum over modes, and a term proportional to the mass gap. The approach to epsilon(x, Lambda, L) -> N/4 4 pi Lambda(2) at large L Lambda is shown, both analytically and numerically, to be exponential: no power corrections are present and in particular no Luscher term appears. This is consistent with the earlier result which states that the system has a unique massive phase, which interpolates smoothly between the classical weakly-coupled limit for L Lambda -> 0 and the "confined" phase of the standard CPN-1 model in two dimensions for L Lambda -> infinity
资助项目	National Natural Science Foundation of China[11675223] ; grant
WOS关键词	INSTANTONS ; MONOPOLES ; VORTICES
WOS研究方向	Physics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000423442500001
资助机构	National Natural Science Foundation of China ; grant
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/47227]
专题	中国科学院近代物理研究所
通讯作者	Betti, Alessandro
作者单位	1.Dipartimento Ingn Informaz & Sci Matemat, Via Roma 56, I-53100 Siena, Italy 2.Univ Pisa, Dept Phys E Fermi, Largo Pontecorvo 3,Ed C, I-56127 Pisa, Italy 3.INFN, Sez Pisa, Largo Pontecorvo 3,Ed C, I-56127 Pisa, Italy 4.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China 5.Keio Univ, Res & Educ Ctr Nat Sci, Hiyoshi 4-1-1, Yokohama, Kanagawa 2238521, Japan
推荐引用方式 GB/T 7714	Betti, Alessandro,Bolognesi, Stefano,Gudnason, Sven Bjarke,et al. Large-N CPN-1 sigma model on a finite interval and the renormalized string energy[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(1):106.
APA	Betti, Alessandro,Bolognesi, Stefano,Gudnason, Sven Bjarke,Konishi, Kenichi,&Ohashi, Keisuke.(2018).Large-N CPN-1 sigma model on a finite interval and the renormalized string energy.JOURNAL OF HIGH ENERGY PHYSICS(1),106.
MLA	Betti, Alessandro,et al."Large-N CPN-1 sigma model on a finite interval and the renormalized string energy".JOURNAL OF HIGH ENERGY PHYSICS .1(2018):106.