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Critical Phenomena in Loop Models

Language EnglishEnglish
Book Paperback
Book Critical Phenomena in Loop Models Adam Nahum
Libristo code: 13513264
Publishers Springer International Publishing AG, August 2016
When close to a continuous phase transition, many physical systems can usefully be mapped to ensembl... Full description
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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.§

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About the book

Full name Critical Phenomena in Loop Models
Author Adam Nahum
Language English
Binding Book - Paperback
Date of issue 2016
Number of pages 141
EAN 9783319360638
ISBN 3319360639
Libristo code 13513264
Weight 2526
Dimensions 155 x 235 x 9
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