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Standard Model Lagrangian

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Summary

The gauge-invariant renormalizable Lagrangian containing gauge kinetic terms, chiral fermion kinetic terms, one Higgs doublet, Yukawa couplings, and the Higgs potential.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Electroweak gauge-boson self-interactionStandard Model Lagrangian

Permalink to relation

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

Authored explanation

Triple and quartic electroweak gauge vertices arise from Standard Model gauge kinetic terms.

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 fermion fieldStandard Model Lagrangian

Permalink to relation

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

Authored explanation

The Standard Model Lagrangian contains three generations of chiral fermion fields.

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-covariant derivativeStandard Model Lagrangian

Permalink to relation

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

Authored explanation

Standard Model fermion and Higgs kinetic terms use the gauge-covariant derivative and thereby encode gauge interactions.

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 field strengthStandard Model Lagrangian

Permalink to relation

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

Authored explanation

The Standard Model Lagrangian contains field-strength kinetic terms for SU(3)CSU(3)_C, SU(2)LSU(2)_L, and U(1)YU(1)_Y.

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 interactionStandard Model Lagrangian

Permalink to relation

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

Authored explanation

Gauge interactions and field-strength terms are core Standard Model components.

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

Gluon gauge fieldStandard Model Lagrangian

Permalink to relation

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

Authored explanation

The Standard Model Lagrangian contains the SU(3)CSU(3)_C gluon field strength and quark color coupling.

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

Higgs doublet fieldStandard Model Lagrangian

Permalink to relation

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

Authored explanation

The Higgs doublet and its potential are Standard Model components.

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

Higgs–gauge interactionStandard Model Lagrangian

Permalink to relation

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

Authored explanation

Higgs–gauge interactions are explicit terms in the Standard Model Lagrangian.

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

Weak-hypercharge gauge fieldStandard Model Lagrangian

Permalink to relation

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

Authored explanation

The Standard Model Lagrangian contains the U(1)YU(1)_Y hypercharge gauge field and its couplings.

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

Scalar self-interactionStandard Model Lagrangian

Permalink to relation

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

Authored explanation

The Higgs potential includes a quartic self-interaction.

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 chiral fermion multipletStandard Model Lagrangian

Permalink to relation

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

Authored explanation

The Standard Model Lagrangian contains three generations of chiral fermion multiplets.

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

Permalink to relation

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

Weak-isospin gauge fieldsStandard Model Lagrangian

Permalink to relation

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

Authored explanation

The Standard Model Lagrangian contains the three SU(2)LSU(2)_L gauge fields and their non-Abelian field strength.

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

Yukawa interactionStandard Model Lagrangian

Permalink to relation

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

Authored explanation

Yukawa couplings connect Higgs and fermion fields.

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

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Standard Model LagrangianStandard Model of particle physics

Permalink to relation

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

Authored explanation

The Standard Model Lagrangian is the central local dynamical component encoding the theory’s fields, gauge symmetries, masses, and interactions.

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