Critical Phenomena in Loop Models by Adam Nahum.

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...

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Bibliographic Details
Main Author: Nahum, Adam (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Springer Theses, Recognizing Outstanding Ph.D. Research,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of 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 CP̂{n-1}
  • Appendix B Phases for Hedgehogs & Vortices.