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Title: Classically spinning and isospinning non-linear σ-model solitons
Author: Haberichter, Mareike Katharina
ISNI:       0000 0004 5366 5823
Awarding Body: University of Manchester
Current Institution: University of Manchester
Date of Award: 2014
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We investigate classically (iso)spinning topological soliton solutions in (2+1)- and (3+1)-dimensional models; more explicitly isospinning lump solutions in (2+1) dimensions, Skyrme solitons in (2+1) and (3+1) dimensions and Hopf soliton solutions in (3 +1) dimensions. For example, such soliton types can be used to describe quasiparticle excitations in ferromagnetic quantum Hall systems, can model spin and isospin states of nuclei and may be candidates to model glueball configurations in QCD.Unlike previous work, we do not impose any spatial symmetries on the isospinning soliton configurations and we explicitly allow the isospinning solitons to deform and break the symmetries of the static configurations. It turns out that soliton deformations clearly cannot be ignored. Depending on the topological model under investigation they can give rise to new types of instabilities, can result in new solution types which are unstable for vanishing isospin, can rearrange the spectrum of minimal energy solutions and can allow for transitions between different minimal-energy solutions in a given topological sector. Evidently, our numerical results on classically isospinning, arbitrarily deforming solitons are relevant for the quantization of classical soliton solutions.
Supervisor: Battye, Richard Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Topological solitons ; Skyrmions ; Skyrme Model ; Faddeev-Skyrme Model ; Hopf Solitons ; Nonperturbative QFT ; Baby Skyrmions ; Numerical classical field theory ; Numerical simulations ; Isospinning Soliton Solutions ; Rigid Body Quantization