Definition:Gauge Theory
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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.
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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 geometric 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