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Spinor field

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Summary

A field transforming in a spinor representation of the Lorentz spin group, used for fermionic matter.

Record metadata

Concept sources

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Fermionic quantum fieldSpinor field

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

Authored explanation

Physical half-integer-spin spinor fields obey fermionic statistics under the spin–statistics assumptions; commuting spinor auxiliaries are not ordinary physical particle fields.

How to interpret this relation type

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

Relation sources

Quantum fieldSpinor field

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

Authored explanation

Spinor fields transform under spin representations.

How to interpret this relation type

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

Relation sources

Spin structureSpinor field

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

Authored explanation

A spin structure is required to define spinor bundles globally on a curved spacetime.

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

Spinor representationSpinor field

Permalink to relation

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

Authored explanation

Spinor fields transform in spin representations of the Lorentz spin 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

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