University of Iowa Honors Theses
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
Copyright
Copyright © 2017 Zhuohao Liu
Included in
Condensed Matter Physics Commons, Statistical, Nonlinear, and Soft Matter Physics Commons
URL
https://ir.uiowa.edu/honors_theses/228