Solitons: Properties, Dynamics, Interactions, Applications

✍ Scribed by Ping Ao, Xiao-Mei Zhu (auth.), R. MacKenzie, M. B. Paranjape, W. J. Zakrzewski (eds.)

• Publisher: Springer-Verlag New York
• Year: 2000
• Tongue: English
• Leaves: 306
• Series: CRM Series in Mathematical Physics
• Edition: 1
• Category: Library

✦ Synopsis

Solitons were discovered by John Scott Russel in 1834, and have interested scientists and mathematicians ever since. They have been the subject of a large body of research in a wide variety of fields of physics and mathematics, not to mention engineering and other branches of science such as biology. This volume comprises the written versions of the talks presented at a workshop held at Queen's University in 1997, an interdisciplinary meeting wherein top researchers from many fields could meet, interact, and exchange ideas. Topics covered include mathematical and numerical aspects of solitons, as well as applications of solitons to nuclear and particle physics, cosmology, and condensed-matter physics. The book should be of interest to researchers in any field in which solitons are encountered.

✦ Table of Contents

Front Matter....Pages i-xxi
Berry Phase and Dissipation of Topological Singularities....Pages 1-9
Normal Mode Spectra of Multi-Skyrmions....Pages 11-20
Standard-Model Dirac Particles Trapped in Flat (Noncompact) Higher Dimensions....Pages 21-25
Planar QED in Magnetic or Electric Solitonic Backgrounds....Pages 27-31
Collective Coordinates and Inequivalent Coset Space Quantizations....Pages 33-37
Spatial Solitons of the Nonlinear Schrödinger Equation of Arbitrary Nonlinearity with a Potential Hill....Pages 39-43
Hairs on the Unicorn: Fine Structure of Monopoles and Other Solitons....Pages 45-56
A Model for Partially Polarized Quantum Hall States....Pages 57-62
Ordering Dynamics of Topological Defect Networks....Pages 63-67
Gauge Theory Description of Spin Chains and Ladders....Pages 69-73
Soliton Solutions of the Integrable Chiral Model in (2+1) Dimensions....Pages 75-79
String Winding Modes From Charge Nonconservation in Compact Chern-Simons Theory....Pages 81-92
Holes in the Charge Density of Topological Solitons....Pages 93-97
From Two-dimensional Black Holes to sine-Gordon Solitons....Pages 99-106
Solitons and Exciton Superfluidity....Pages 107-113
Quantum Effects on Higgs Winding Configurations....Pages 115-118
Solitons and Their Moduli Spaces....Pages 119-130
Deformed Skyrmions....Pages 131-135
The Large- N c Renormalization Group....Pages 137-152
Instantons in Nonirreducible Representations of the Lorentz Group....Pages 153-157
Fermion Vacuum Effects on Soliton Stability....Pages 159-162
Soliton Solutions of the σ-Model and Disoriented Chiral Condensates....Pages 163-166
Dynamics of Topological Magnetic Solitons....Pages 167-181
Fun with Baby-Skyrmions....Pages 183-186
Skyrmions and Domain Walls....Pages 187-190
Fun with Electroweak Solitons....Pages 191-211
Neutral and Charged Spin Excitations in the Quantum Hall Ferromagnet....Pages 213-217
Quantum Corrections to Monopoles....Pages 219-223
Nonabelian Dyons....Pages 225-233
Electroweak Baryon Properties in Soliton Models....Pages 235-239
Solitons, Duality, and Supersymmetric Gauge Theories....Pages 241-251
Solitonic Strings and Knots....Pages 253-261
Toward a String Formulation of Vortex Dynamics....Pages 263-267
Domain Walls in a Chern-Simons Theory....Pages 269-272
Microphysics of Gauge Vortices and Baryogenesis....Pages 273-277
On a Dual Standard Model....Pages 279-286
From Skyrmions to the Nucleon-Nucleon Potential....Pages 287-293
Two-dimensional Solitons at Finite Temperature....Pages 295-307
Nontopological Structures in the Baby-Skyrme Model....Pages 309-312

✦ Subjects

Physics, general