Definition:Gauge Theory
Jump to navigation
Jump to search
Definition
A gauge theory is a theory of fields in the context of physics in which the Lagrangian is invariant under local transformations according to Lie groups.
The theory is a modern form of James Clerk Maxwell's theory of electromagnetism.
 | This article is incomplete. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by expanding it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Stub}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Also see
- Results about gauge theories can be found here.
Historical Note
The ideas behind gauge theory have been used by Simon Kirwan Donaldson to study the gemoetric and topological properties of $4$-dimensional spaces.
He has shown that their properties are fundamentally different from spaces of lower or higher dimension.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): gauge theory
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): gauge theory