The Resource Critical phenomena in loop models, Adam Nahum

Critical phenomena in loop models, Adam Nahum

Label
Critical phenomena in loop models
Title
Critical phenomena in loop models
Statement of responsibility
Adam Nahum
Creator
Author
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Nahum, Adam
Dewey number
530.474
Index
no index present
LC call number
QC173.4.C74
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer theses
http://library.link/vocab/subjectName
  • Critical phenomena (Physics)
  • Loop spaces
  • Spatial systems
  • SCIENCE
  • SCIENCE
  • SCIENCE
  • Critical phenomena (Physics)
  • Loop spaces
  • Spatial systems
  • Statistical physics
  • Mathematical modelling
  • Materials / States of matter
  • Mathematical physics
Label
Critical phenomena in loop models, Adam Nahum
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-06407-9
Instantiates
Publication
Copyright
Note
"Doctoral thesis accepted by the University of Oxford, UK."
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Completely Packed Loop Models -- Topological Terms, Quantum Magnets and Deconfined Criticality -- The Statistics of Vortex Lines -- Loop Models with Crossings in 2D -- Polymer Collapse -- Outlook -- Appendix A Potts domain walls and CP^{n-1} -- Appendix B Phases for Hedgehogs & Vortices
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319064079
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-06407-9
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)892749163
  • (OCoLC)ocn892749163
Label
Critical phenomena in loop models, Adam Nahum
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-06407-9
Publication
Copyright
Note
"Doctoral thesis accepted by the University of Oxford, UK."
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Completely Packed Loop Models -- Topological Terms, Quantum Magnets and Deconfined Criticality -- The Statistics of Vortex Lines -- Loop Models with Crossings in 2D -- Polymer Collapse -- Outlook -- Appendix A Potts domain walls and CP^{n-1} -- Appendix B Phases for Hedgehogs & Vortices
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319064079
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-06407-9
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)892749163
  • (OCoLC)ocn892749163

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