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This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
gaugefield_to_bosonic
Relation type
Classification classification
Direction
source → target
Endpoint roles
source: Has subtype; target: Classified as
Authored annotation
bosonic gauge field
Authored explanation
Physical integer-spin gauge fields obey bosonic statistics under the spin–statistics assumptions; Faddeev–Popov ghosts are auxiliary scalar anticommuting fields rather than physical gauge-boson states.
How to interpret this relation type
The target is a member or subtype of the broader source class.
Relation sources
Wikipedia — Gauge theory — Gauge theory · encyclopedic reference · source ID wp-physics-gauge_field_theory
nLab — gauge field — gauge field · mathematical physics reference · source ID nlab-physics-gauge_field
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
principal_connection_to_gauge
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
connection one-form
Authored explanation
Gauge potentials are local representatives of principal connections.
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 — Gauge theory — Gauge theory · encyclopedic reference · source ID wp-physics-gauge_field_theory
nLab — gauge field — gauge field · mathematical physics reference · source ID nlab-physics-gauge_field
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 → 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 — Field strength — Field strength · encyclopedic reference · source ID wp-physics-gauge_field_strength
nLab — field strength — field strength · physics reference · source ID nlab-physics-field_strength