On the Double Scaling Limit of O(N) Vector Models in d=2.pdf

下载文档

2
0
约1.01万字
约 7页
2017-04-09 发布于江苏
举报
版权申诉
保障服务

On the Double Scaling Limit of O(N) Vector Models in d=2.pdf

1、本文档共7页，可阅读全部内容。
2、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。
3、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。

On the Double Scaling Limit of O(N) Vector Models in d=2

a r X i v : h e p - t h / 9 2 1 1 1 3 2 v 1 2 9 N o v 1 9 9 2 TECHNION-PH-54-92 November 1992 On the Double Scaling Limit of O(N) Vector Models in d=2 Paolo Di Vecchia ? Nordita, Blegdamsvej 17, DK-2100 Copenhagen 60 , Denmark Moshe Moshe ?? Department of Physics, Technion - Israel Institute of Technology Haifa, 32000 Israel ABSTRACT Recent interest in large N matrix models in the double scaling limit raised new interest also in O(N) vector models. The limit N → ∞, corre- lated with the limit g → gc, results in an expansion in terms of filamentary surfaces and explicit calculations can be carried out also in dimensions d ≥ 2. It is shown here that the absence of physical massless bound states in two dimensions sets strong constraints on this limit. —————————————————————————– * Supported in part by the GIF and the Henri Gutwirth fund ? e-mail addresses : divecchia@nbivax.nbi.dk.bitnet phr74mm@technion.bitnet 1 Large N matrix models providing representations of dynamically trian- gulated random surfaces in their double scaling limit [1] have recently raised much interest. Here, the surfaces are represented by the Feynman graphs of the matrix model in the limit, where N → ∞ and the coupling con- stant g → gc in a correlated manner. An analogous interesting limit is the double scaling limit in O(N) vector models, which represents filamentary surfaces[2]?[4]. These models have many common features with the matrix models and give new insight into the nonperturbative structure associated with the double scaling limit and the related underlying hierarchy[5]. In many cases, the O(N) vector models can be successfully studied[4] also in dimensions d ≥ 2 and thus gaining intuition for the search of a solution to the long lasting problem of understanding field theories in terms of extended objects[6]. The double scaling limit in O(N) vector quantum field theories reveals an interesting new phase structure, as was argued also in case of matrix models. Consider the large N li