Author
Howarth, Dean
Other Contributors
Giedt, Joel; Mueinire, Vincent; Brown, Ethan; Catterall, Simon; Kramer, Peter Roland, 1971-;
Date Issued
2016-05
Subject
Physics
Degree
PhD;
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.; Attribution-NonCommercial-NoDerivs 3.0 United States
Abstract
In chapters 2, 3, and 4, the salient properties of continuum QCD will be outlined, as will those of path integral formalism and lattice gauge theory. In chapter 5, the numerical algorithms necessary to perform lattice calculations on a computer will be explained. In chapters 6 and 7 the lattice gauge theory techniques used to simulate the $\pi^+\pi^-\rightarrow\pi^+\pi^-$ scattering process and in chapter 8, the significance $f_0(500)$ or $\sigma$ will be given, as will the process of matching numerical results with observable physics. In chapter 9 we explain the process of software design that was required to utilise GPU architecture and in chapter 10 we present our results and give outlook for further research.;
Description
May 2016; School of Science
Department
Dept. of Physics, Applied Physics, and Astronomy;
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection;
Access
CC BY-NC-ND. Users may download and share copies with attribution in accordance with a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License. No commercial use or derivatives are permitted without the explicit approval of the author.;