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Mathematics

University at Albany, State University of New York

Theses/Dissertations

Maxwell's equations

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Full-Text Articles in Physical Sciences and Mathematics

Maxwell's Equations And Yang-Mills Equations In Complex Variables : New Perspectives, Sachin Munshi Jan 2020

Maxwell's Equations And Yang-Mills Equations In Complex Variables : New Perspectives, Sachin Munshi

Legacy Theses & Dissertations (2009 - 2024)

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.