Nonlinear realizations and effective Lagrangian densities for nonlinear o-models
Nonlinear realizations and effective Lagrangian densities for nonlinear o-models
Nonlinear realizations of the groups SU(N), SO(m) and SO(t,s) are analysed, described by the coset spaces 
. The analysis consists of determining the transformation properties of the Goldstone Bosons, constructing the most general possible Lagrangian for the realizations, and as a result identifying the coset space metric. We view the λ matrices of SU(N) as being the basis of an (N2 - 1) dimensional real vector space, and from this we learn how to construct the basis of a Cartan Subspace associated with a vector. This results in a mathematical structure which allows us to find expressions for coset representative elements used in the analysis. This structure is not only relevant to SU(N) breaking models, but may also be used to find results in SO(m) and SO(1, m - 1) breaking models.
University of Southampton
Hamilton-Charlton, Jason Dominic
d85da1ed-1a78-4f4c-a442-ce4dd50026ef
2003
Hamilton-Charlton, Jason Dominic
d85da1ed-1a78-4f4c-a442-ce4dd50026ef
Hamilton-Charlton, Jason Dominic
(2003)
Nonlinear realizations and effective Lagrangian densities for nonlinear o-models.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
Nonlinear realizations of the groups SU(N), SO(m) and SO(t,s) are analysed, described by the coset spaces . The analysis consists of determining the transformation properties of the Goldstone Bosons, constructing the most general possible Lagrangian for the realizations, and as a result identifying the coset space metric. We view the λ matrices of SU(N) as being the basis of an (N2 - 1) dimensional real vector space, and from this we learn how to construct the basis of a Cartan Subspace associated with a vector. This results in a mathematical structure which allows us to find expressions for coset representative elements used in the analysis. This structure is not only relevant to SU(N) breaking models, but may also be used to find results in SO(m) and SO(1, m - 1) breaking models.
Text
904785.pdf
- Version of Record
More information
Published date: 2003
Identifiers
Local EPrints ID: 464981
URI: http://eprints.soton.ac.uk/id/eprint/464981
PURE UUID: 87707530-6ab2-4b67-a09e-ce7196da34ce
Catalogue record
Date deposited: 05 Jul 2022 00:14
Last modified: 16 Mar 2024 19:52
Export record
Contributors
Author:
Jason Dominic Hamilton-Charlton
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics