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A physical quantum field whose particle excitations obey fermionic statistics and whose canonical operators anticommute under the spin–statistics assumptions.
wp-physics-fermionic_fieldnlab-physics-fermionic_fieldtong-qftEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Grassmann variables encode fermionic signs in path-integral and algebraic formulations.
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.
wp-grassmann_algebranlab-grassmann_algebratong-qftwp-physics-fermionic_fieldnlab-physics-fermionic_fieldThis is an authored directed relation from the source endpoint to the target endpoint.
Fermionic creation, annihilation, and field operators satisfy canonical anticommutation rather than commutation relations.
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.
wp-operator-anticommutatornlab-operator-anticommutatortong-qftEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Physical half-integer-spin spinor fields obey fermionic statistics under the spin–statistics assumptions; commuting spinor auxiliaries are not ordinary physical particle fields.
The target is a member or subtype of the broader source class.
wp-physics-spinor_fieldnlab-physics-spinor_fieldtong-qft