Major Department

Physics

College

College of Liberal Arts & Sciences

Degree

BS (Bachelor of Science)

Session and Year of Graduation

Fall 2017

Honors Major Advisor

Vincent G. J. Rodgers

Thesis Mentor

Yannick Meurice

Abstract

This thesis describes the Tensor Renormalization Group (TRG) method used to solve the Z5 model in lattice gauge theory. The TRG method provides exact blocking for the models and is much less expansive in terms of computational costs. Here we consider the Z5 model in two dimensions, we discuss the formulation of the tensor and the process we used to do the TRG blocking, in order to find the phase transition and critical behavior of the model. We give some simple results and plots, and some expectation for further research in the model.

Keywords

Tensor Renormalization Group

Total Pages

18 pages

Copyright

Copyright © 2017 Zhuohao Liu

COinS
 

URL

https://ir.uiowa.edu/honors_theses/228