01whole.pdf (672.8 kB)
Download file

Discretising quantum field theory using wavelets

Download (672.8 kB)
thesis
posted on 28.03.2022, 23:33 by Bryte Hagan
In this thesis, I develop a new discretisation scheme offered by wavelet analysis. Daubechies wavelets of orderK ≥3 are used to encode the quantum field theory of the 1D transverse Ising model in a discrete approximation. I then analytically determine the energy spectrum, which is used to construct the correlation matrix. This allows for the calculation of bipartite von Neumann entropy,which acts a measure of entanglement entropy for block spin chains. These results are qualitativelyand quantitatively compared to the discrete and continuous Ising models as a gauge of the method'ssuccess as an alternative discretisation scheme.

History

Table of Contents

Chapter 1: Introduction -- Chapter 2: The Ising Model -- Chapter 3: Wavelets -- Chapter 4: Wavelet-Ising Model -- Chapter 5: Conclusion

Notes

Bibliography: pages 43-44 Theoretical thesis.

Awarding Institution

Macquarie University

Degree Type

Thesis MRes

Degree

MRes, Macquarie University, Faculty of Science and Engineering, Department of Physics

Department, Centre or School

Department of Physics

Year of Award

2017

Principal Supervisor

Gavin Brennen

Rights

Copyright Bryte Hagan 2017. Copyright disclaimer: http://mq.edu.au/library/copyright

Language

English

Extent

1 online resource (44 pages)

Former Identifiers

mq:71262 http://hdl.handle.net/1959.14/1272490