Global Defects in Field Theory with Applications to Condensed Matter
arXiv:cond-mat/0511657 · doi:10.1142/S0217984905008736
Abstract
We review investigations on defects in systems described by real scalar fields in (D,1) space-time dimensions. We first work in one spatial dimension, with models described by one and two real scalar fields, and in higher dimensions. We show that when the potential assumes specific form, there are models which support stable global defects for D arbitrary. We also show how to find first-order differential equations that solve the equations of motion, and how to solve models in D dimensions via soluble problems in D=1. We illustrate the procedure examining specific models and showing how they may be used in applications in different contexts in condensed matter physics, and in other areas.
arXiv comment15 pages, 9 figures
References in corpus (14)
- Theory of Bose-Einstein condensation in trapped gases
- Supersymmetry and Quantum Mechanics
- Magnetic structures and reorientation transitions in noncentrosymmetric uniaxial antiferromagnets
- Solitons in systems of coupled scalar fields
- New Global Defect Structures
- Exact static soliton solutions of 3+1 dimensional integrable theory with nonzero Hopf numbers
- Tiling the plane without supersymmetry
- A Phase Front Instability in Periodically Forced Oscillatory Systems
- Biased Discrete Symmetry Breaking and Fermi Balls
- Topological Twistons in Crystalline Polyethylene
- Soliton model for proton conductivity in Langmuir films
- Complete factorization of equations of motion in Wess-Zumino theory
- Complete factorization of equations of motion in supersymmetric field theories
- Exact Topological Twistons in Crystalline Polyethylene