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Title: | Numerical Investigations of U(1) Lattice Gauge Theory |
Authors: | Banerjee, Debasish RAKESH, AMOGH Dept. of Physics 20191094 |
Keywords: | Research Subject Categories::NATURAL SCIENCES |
Issue Date: | May-2024 |
Citation: | 121 |
Abstract: | U(1) Lattice Gauge Theory in three dimensions is a simple model that exhibits the non-trivial phenomenon of confinement. In this thesis, I numerically study this model using an extended action. This model is mapped to a dual height model defined on the dual lattice. I study the effect of the gamma on the mass gap by performing Monte Carlo simulations of the dual model on a cubic lattice. It will be shown that gamma allows us to probe the continuum behaviour of the system at relatively small beta. An effective coupling beta* will also be computed using the scaling of the mass gap. This model is also studied on a three dimensional `triangular' lattice. In order to validate the simulations, a strong-coupling expansion calculation is performed. I also provide a brief introduction to Lattice Field Theory and give a brief overview of the physics of 3D U(1) Lattice Gauge Theory in terms of monopoles. |
URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8807 |
Appears in Collections: | MS THESES |
Files in This Item:
File | Description | Size | Format | |
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20191094_Amogh_Rakesh_MS_Thesis.pdf | MS Thesis | 9.96 MB | Adobe PDF | View/Open Request a copy |
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