Use this URL to cite or link to this record in EThOS:
Title: Soliton dynamics and symmetry in CP² sigma models
Author: Bull, D. R.
ISNI:       0000 0001 3508 5129
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 1995
Availability of Full Text:
Access from EThOS:
Access from Institution:
The primary purpose of the work undertaken in this thesis is to investigate soliton scattering in the non linear CP² sigma model. This has two spatial and one temporal dimension. The vector fields used to represent the model have three components and hence there exists a global SU(3) symmetry. The effects of adding an Hopflike term to the basic lagrangian is considered. A review of the model is given in chapter I. The second chapter discusses Noether's theorem which states that each symmetry of the lagrangian has associated with it a conserved charge. In the third chapter, the eight charges relating to the internal symmetry are calculated. Explanations are provided for the results calculated during the numerical simulations. The results for the CP¹ model are also discussed. In the fourth chapter, these charges are used to predict the qualitative behaviour of the solitons. It will provide an explanation for the effect of the coefficient of the hopflike term on the scattering. The single soliton ansatz is also investigated. In the penultimate chapter, an alternative approach is used. This involves looking for the closest static approximation to the evolved solution. It is able to predict the trajectory for pure CP² and some confirmation is provided for the ansatz used in the full lagrangian. The last chapter summarises the results. It also provides some suggestions for further work.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Motion equations