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A derivative in mathematical convention, or with coupling and representation factors in physics convention, that differentiates charged fields while transforming covariantly under local gauge transformations.
wp-physics-gauge_covariant_derivativenlab-physics-covariant_derivativetong-gaugetong-standard-modelEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Gauge-covariant differentiation is the physical use of a connection on an associated vector bundle.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-gauge_covariant_derivativenlab-physics-covariant_derivativeThis is an authored directed relation from the source endpoint to the target endpoint.
A gauge connection together with a representation of the gauge group defines the covariant derivative acting on the associated matter field.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-gauge_covariant_derivativenlab-physics-covariant_derivativeEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Replacing ordinary derivatives by gauge-covariant derivatives generates matter–gauge interaction terms fixed by the representation and coupling.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-gauge_covariant_derivativenlab-physics-covariant_derivativeThis is an authored directed relation from the source endpoint to the target endpoint.
Standard Model fermion and Higgs kinetic terms use the gauge-covariant derivative and thereby encode gauge interactions.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
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