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Critical Phenomena in Loop Models
Angol
331 b
30 nap a termék visszaküldésére
Ezt is ajánljuk
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Puha kötésű
39 159
Ft
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Puha kötésű
11 773
Ft
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Puha kötésű
13 048
Ft
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Puha kötésű
40 997
Ft
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Puha kötésű
26 816
Ft
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 world lines 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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Angol
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