| 书目名称 | Critical Phenomena in Loop Models |
| 编辑 | Adam Nahum |
| 视频video | http://file.papertrans.cn/241/240082/240082.mp4 |
| 概述 | Nominated as an outstanding Ph.D. thesis by the University of Oxford, UK.Offers a broad perspective on the application of loop models to critical phenomena.Relevant to quantum magnetism, disordered sy |
| 丛书名称 | Springer Theses |
| 图书封面 |  |
| 描述 | .When close to a continuous phase transition, many physical systems can usefully be mapped to ensembles of fluctuating loops, which might represent for example polymer rings, or line defects in a lattice magnet, or worldlines of quantum particles..‘Loop models‘ provide a unifying geometric language for problems of this kind..This thesis aims to extend this language in two directions. The first part of the thesis tackles ensembles of loops in three dimensions, and relates them to the statistical properties of line defects in disordered media and to critical phenomena in two-dimensional quantum magnets. The second part concerns two-dimensional loop models that lie outside the standard paradigms: new types of critical point are found, and new results given for the universal properties of polymer collapse transitions in two dimensions..All of these problems are shown to be related to sigma models on complex or real projective space, CP^{n−1} or RP^{n−1} -- in some cases in a ‘replica‘ limit -- and this thesis is also an in-depth investigation of critical behaviour in these field theories.. |
| 出版日期 | Book 2015 |
| 关键词 | CP^{n-1} Model; Completely-packed Loop Model; Deconfined Criticality; Fractal Geometry; Loop Gas; Loop Mo |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-06407-9 |
| isbn_softcover | 978-3-319-36063-8 |
| isbn_ebook | 978-3-319-06407-9Series ISSN 2190-5053 Series E-ISSN 2190-5061 |
| issn_series | 2190-5053 |
| copyright | Springer International Publishing Switzerland 2015 |
|Archiver|手机版|小黑屋|
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