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A field degree of freedom in a quantum field theory; in common formulations fields are operator-valued distributions, while particle states arise from the theory’s excitations and asymptotic sectors.
In regimes with a useful particle interpretation, particle states are excitations of quantum fields; that interpretation can be observer- and background-dependent.
wp-physics-quantum_field_theorynlab-physics-quantum_fieldcern-qft-introtong-qftEach relation below ends at this concept.
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This is an authored directed relation from the source endpoint to the target endpoint.
Gauge fields implement local gauge structure.
The target is a member or subtype of the broader source class.
wp-physics-gauge_field_theorynlab-physics-gauge_fieldwp-physics-quantum_field_theorynlab-physics-quantum_fieldThis is an authored directed relation from the source endpoint to the target endpoint.
The Higgs field is a scalar quantum field.
The target is a member or subtype of the broader source class.
cern-higgswp-physics-higgs_fieldnlab-physics-higgs_fieldwp-physics-quantum_field_theorynlab-physics-quantum_fieldThis is an authored directed relation from the source endpoint to the target endpoint.
Matter fields are quantum fields representing material degrees of freedom rather than gauge connections. They often carry nontrivial gauge representations, but gauge-singlet matter fields are possible.
The target is a member or subtype of the broader source class.
wp-physics-matter_fieldnlab-physics-matter_fieldwp-physics-quantum_field_theorynlab-physics-quantum_fieldThis is an authored directed relation from the source endpoint to the target endpoint.
A scalar field transforms in the trivial finite-dimensional representation of the Lorentz group under Lorentz transformations.
The target is a member or subtype of the broader source class.
wp-physics-scalar_fieldnlab-physics-scalar_fieldwp-physics-quantum_field_theorynlab-physics-quantum_fieldThis is an authored directed relation from the source endpoint to the target endpoint.
Spinor fields transform under spin representations.
The target is a member or subtype of the broader source class.
wp-physics-spinor_fieldnlab-physics-spinor_fieldwp-physics-quantum_field_theorynlab-physics-quantum_fieldThis is an authored directed relation from the source endpoint to the target endpoint.
Vector fields transform in Lorentz-vector representations.
The target is a member or subtype of the broader source class.
wp-physics-vector_field_physicsnlab-physics-vector_field_physicswp-physics-quantum_field_theorynlab-physics-quantum_field