The Resource Critical Phenomena in Loop Models, by Adam Nahum, (electronic resource)

Critical Phenomena in Loop Models, by Adam Nahum, (electronic resource)

Label
Critical Phenomena in Loop Models
Title
Critical Phenomena in Loop Models
Statement of responsibility
by Adam Nahum
Creator
Contributor
Author
Provider
Subject
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
http://library.link/vocab/creatorName
Nahum, Adam
Image bit depth
0
LC call number
QC5.53
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Theses, Recognizing Outstanding Ph.D. Research,
http://library.link/vocab/subjectName
  • Physics
  • Mathematical physics
  • Physics
  • Mathematical Methods in Physics
  • Statistical Physics, Dynamical Systems and Complexity
  • Mathematical Applications in the Physical Sciences
  • Condensed Matter Physics
Label
Critical Phenomena in Loop Models, by Adam Nahum, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
XVII, 141 p. 38 illus., 36 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319064079
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-06407-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-06407-9
Label
Critical Phenomena in Loop Models, by Adam Nahum, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
XVII, 141 p. 38 illus., 36 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319064079
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-06407-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-06407-9

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