Critical Phenomena in Loop Models

• Main Author: Nahum, Adam (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Physics.; Mathematical physics.; Condensed matter.; Statistical physics.; Dynamical systems.; Mathematical Methods in Physics.; Statistical Physics, Dynamical Systems and Complexity.; Mathematical Applications in the Physical Sciences.; Condensed Matter Physics.

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...

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 CP^{n-1}
• Appendix B Phases for Hedgehogs & Vortices.