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Standard Model gauge group

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Summary

The local gauge group SU(3)CΓ—SU(2)LΓ—U(1)YSU(3)_C\times SU(2)_L\times U(1)_Y, modulo possible finite central identifications, underlying the Standard Model interactions.

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Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Circle group U(1)U(1)Standard Model gauge group

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

Authored explanation

The hypercharge factor is modeled by the circle group.

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

Special unitary groupStandard Model gauge group

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

Authored explanation

Special unitary groups supply the weak-isospin and color gauge factors.

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

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Standard Model gauge groupStandard Model of particle physics

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

Authored explanation

The Standard Model is built around the color and electroweak gauge group.

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

Standard Model gauge groupStandard Model Lagrangian

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

Authored explanation

The Lagrangian is invariant under the local Standard Model gauge group before gauge fixing.

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