Linked from

The 46 pages that link to Gauge theory, each with the reason it gives.

• Quantum field theoryRelated: Gauge symmetry structures the interactions in the Standard Model’s quantum field theories.

• Lie groupRelated: Gauge symmetries are often modeled by Lie groups such as U(1) and SU(3).

• Élie CartanRelated: Cartan connections and Lie groups provide geometric foundations for gauge fields.

• String theoryRelated: Gauge interactions appear in string models and in their low-energy descriptions.

• Hendrik LorentzRelated: Lorentz’s field-centered approach helped establish the mathematical language later used in field theories.

• Covariant derivativeRelated: Gauge-covariant derivatives extend the same idea to internal symmetry spaces.

• Emmy NoetherRelated: Noether’s second theorem clarifies how gauge symmetries constrain field equations.

• Lie algebraRelated: Gauge fields and their interactions are organized by Lie algebras.

• Hermann WeylRelated: Weyl’s 1918 attempt to unify gravity and electromagnetism introduced an early gauge idea.

• Sophus LieRelated: Lie groups provide the symmetry groups underlying many gauge theories.

• Lie bracketRelated: Its symmetry algebras use Lie brackets to describe how infinitesimal gauge transformations combine.

• Jacobi identityRelated: Gauge-symmetry generators form Lie algebras and inherit the bracket constraint.

• Superstring theoryRelated: Open strings and branes can generate gauge fields resembling those of particle physics.

• Gerard ’t HooftRelated: His work established the consistency of gauge theories describing fundamental forces.

• QuantizationRelated: Quantizing gauge fields requires handling redundant descriptions and constraints.

• Peter–Weyl theoremRelated: Compact Lie-group representations provide mode expansions for fields with internal symmetries.

• SupergravityRelated: Supergravity treats local supersymmetry as a gauge symmetry.

• Karen UhlenbeckRelated: Uhlenbeck developed analytic foundations for gauge theories used in geometry and mathematical physics.

• BraneRelated: Gauge theories can emerge from open-string modes living on stacks of D-branes.

• Classical unified field theoriesRelated: Weyl's proposal helped introduce the gauge principle, later central to modern field theory.

• Field and string theory models and techniquesRelated: Gauge symmetry constrains interactions and determines much of the structure of particle theories.