Date of Award
1-1-2020
Language
English
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
College/School/Department
Department of Mathematics and Statistics
Content Description
1 online resource (vi, 69 pages)
Dissertation/Thesis Chair
Rongwei Yang
Committee Members
Rongwei Yang, Antun Milas, Marius Beceanu, Oleg Lunin
Keywords
C*-algebra, differential forms, Hodge star operator, Maxwell's equations, projective joint spectrum, Yang-Mills equations, Maxwell equations, Yang-Mills theory, Electromagnetic theory, C*-algebras, Gauge fields (Physics)
Subject Categories
Applied Mathematics | Mathematics | Physical Sciences and Mathematics
Abstract
Maxwell's equations, named after James C. Maxwell, are a U(1) gauge theory describing the interactions between electric and magnetic fields. They lie at the heart of classical electromagnetism and electrodynamics. Yang-Mills equations, named after C. N. Yang and Robert Mills, generalize Maxwell's equations and are associated with a non-abelian gauge theory called Yang-Mills theory. Yang-Mills theory unified the electroweak interaction with the strong interaction (QCD), and it is the foundation of the Standard Model in particle physics.
Recommended Citation
Munshi, Sachin, "Maxwell's equations and Yang-Mills equations in complex variables : new perspectives" (2020). Legacy Theses & Dissertations (2009 - 2024). 2532.
https://scholarsarchive.library.albany.edu/legacy-etd/2532