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Yang–Mills theory

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Summary

A non-Abelian gauge theory with curvature field strength and self-interacting gauge bosons.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Gauge field strengthYang–Mills theory

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

Authored explanation

The Yang–Mills action is constructed from the non-Abelian field strength, whose commutator term produces gauge self-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 theoryYang–Mills theory

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

Authored explanation

Yang–Mills theory is the standard non-Abelian gauge-field dynamics.

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

Non-Abelian gauge theoryYang–Mills theory

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

Authored explanation

Yang–Mills theory supplies the canonical renormalizable kinetic dynamics for non-Abelian gauge fields.

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

Special unitary groupYang–Mills theory

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

Authored explanation

Important Yang–Mills theories use SU(n)SU(n) gauge groups.

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.

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Yang–Mills theoryYang–Mills mass gap

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

Authored explanation

Pure confining four-dimensional quantum Yang–Mills theory is expected to have a positive spectral gap above the vacuum; rigorous continuum construction and proof remain open.

How to interpret this relation type

The target is a collective, organizational, or scale-dependent phenomenon of the source constituents and interactions; it is not a mere list or classical sum of constituents.

Relation sources