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Canonical static concept record

Gauge field

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Summary

A connection on a principal bundle or its local gauge potential, whose curvature is the field strength.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Bosonic quantum fieldGauge field

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This is an authored directed relation from the source endpoint to the target endpoint.

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

Principal connectionGauge field

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This is an authored directed relation from the source endpoint to the target endpoint.

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

Quantum fieldGauge field

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Gauge fields implement local gauge structure.

How to interpret this relation type

The target is a member or subtype of the broader source class.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Gauge fieldGauge-covariant derivative

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A gauge connection together with a representation of the gauge group defines the covariant derivative acting on the associated matter field.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

Relation sources

Gauge fieldGauge field strength

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

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