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The curvature F=dA+Aβ§A of a gauge connection; its Abelian specialization is the electromagnetic field-strength tensor, while non-Abelian theories contain gauge self-interactions.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
curvature_to_gaugefieldstrength
Relation type
Mathematical formulation mathematical-formulation
Direction
source β target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
curvature two-form
Authored explanation
Gauge field strengths are Lie-algebra-valued curvature two-forms.
How to interpret this relation type
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.
Relation sources
Wikipedia β Field strength β Field strength Β· encyclopedic reference Β· source ID wp-physics-gauge_field_strength
nLab β field strength β field strength Β· physics reference Β· source ID nlab-physics-field_strength
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
gaugefield_to_fieldstrength
Relation type
Canonical construction canonical-construction
Direction
source β target
Endpoint roles
source: Canonically constructs; target: Canonically constructed from
Authored annotation
connection curvature
Authored explanation
The gauge field strength is the curvature of the gauge connection.
How to interpret this relation type
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
Relation sources
Wikipedia β Field strength β Field strength Β· encyclopedic reference Β· source ID wp-physics-gauge_field_strength
nLab β field strength β field strength Β· physics reference Β· source ID nlab-physics-field_strength