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The Lie-algebra-valued (or endomorphism-valued) two-form measuring the non-flatness of a connection.
Curvature is tensorial even though a local connection potential is gauge-dependent.
wp-curvature_formnlab-curvature_formEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A connection canonically determines its curvature two-form.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
wp-curvature_formnlab-curvature_formEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Gauge field strengths are Lie-algebra-valued curvature two-forms.
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_field_strengthnlab-physics-field_strength