Classical and Quantum Solitons

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Author(s): N. S. Manton and D. Stuart, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part III Lecture Notes
Publisher: University of Cambridge
Year: 2017

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied

Introduction
phi4 kinks
Kink solutions
Dynamic kink
Soliton interactions
Quantization of kink motion
Sine-Gordon kinks
Vortices
Topological background
Global U(1) Ginzburg–Landau vortices
Abelian Higgs/Gauged Ginzburg–Landau vortices
Bogomolny/self-dual vortices and Taubes' theorem
Physics of vortices
Jackiw–Pi vortices
Skyrmions
Skyrme field and its topology
Skyrmion solutions
Other Skyrmion structures
Asymptotic field and forces for B = 1 hedgehogs
Fermionic quantization of the B = 1 hedgehog
Rigid body quantization
Index