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Critical Phenomena in Loop Models
Hardcover
Series: Springer Theses
ISBN13: 9783319064062
Publisher: Springer Nature
Published: Oct 14 2014
Pages: 141
Weight: 0.89
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
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.
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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