Date of Submission
Spring 2014
Academic Programs and Concentrations
Mathematics; Physics
Project Advisor 1
Matthew Deady
Project Advisor 2
Gregory D. Landweber
Abstract/Artist's Statement
The Lagrangian is an essential tool in the formulation of many physical theories. On the subatomic level the Lagrangian for fundamental particles is known to be symmetric under certain gauge transformations. Such transformations can be described by special unitary groups. In this project I study the representations of these groups and their associated algebras and extend them to a hypothetical tetraquark system, whose existence was recently confirmed by research conducted at the Large Hadron Collider. My results include the calculation of all the possible states of the tetraquark system in their four-fold product representation and their classification into 9 multiplets.
Open Access Agreement
On-Campus only
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Recommended Citation
Chu, Yan, "Representation Theory and Its Application in Particle Physics" (2014). Senior Projects Spring 2014. 75.
https://digitalcommons.bard.edu/senproj_s2014/75
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