Eigenvalue dynamics in the large N Limit of multi matrix systems
No Thumbnail Available
Date
2019
Authors
Cuthbertson, Nicholas
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The Collective Field method is used to investigate various matrix valued problems.
First the application to the single hermitian matrix is reviewed after which the
method is generalised to multiple hermitian matrices. Two different approaches
are considered, both of which return the expected Jacobian. The second approach
is then used to explore a system of complex matrices to determine if a Jacobian
including both radial and angular dynamics can be revealed. This turns out not to
be the case but the analysis is informative, and some avenues for further research
are suggested.
Description
A dissertation submitted to the Faculty of Science, University of
the Witwatersrand, Johannesburg, in fulfilment of the requirements for the degree of Master of Science, February 2019