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Gauge redundancy

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Summary

A local redundancy in field variables: gauge-related configurations represent the same physical state, while global and boundary gauge transformations may carry physical charges.

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Gauge redundancyGauge fixing

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

Authored explanation

Gauge fixing selects representatives or conditions to remove redundant gauge descriptions sufficiently for a chosen quantization or calculation.

How to interpret this relation type

A physical process transforms the source into, or produces, the target under the conditions stated in the edge detail.

Relation sources

Gauge redundancyLocal gauge invariance

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

Authored explanation

Local gauge transformations depend on spacetime position.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Gauge redundancyWard–Takahashi identity

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

Authored explanation

In an anomaly-free, suitably gauge-fixed quantum theory, invariance of the generating functional gives Ward–Takahashi identities; the precise form depends on fields, sources, and regularization.

How to interpret this relation type

Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.

Relation sources