In quantum field theory, a fermionic field is a quantum field whose quanta are fermions; that is, they obey Fermi–Dirac statistics. Fermionic fields obey canonical anticommutation relations rather than the canonical commutation relations of bosonic fields.
The most prominent example of a fermionic field is the Dirac field, which describes fermions with spin-1/2: electrons, protons, quarks, etc. The Dirac field can be described as either a 4-component spinor or as a pair of 2-component Weyl spinors. Spin-1/2 Majorana fermions, such as the hypothetical neutralino, can be described as either a dependent 4-component Majorana spinor or a single 2-component Weyl spinor. It is not known whether the neutrino is a Majorana fermion or a Dirac fermion; observing neutrinoless double-beta decay experimentally would settle this question.
quantum field theory, a fermionicfield is a quantum field whose quanta are fermions; that is, they obey Fermi–Dirac statistics. Fermionicfields obey canonical...
A fermionic condensate (or Fermi–Dirac condensate) is a superfluid phase formed by fermionic particles at low temperatures. It is closely related to the...
In lattice field theory, fermion doubling occurs when naively putting fermionicfields on a lattice, resulting in more fermionic states than expected...
variables on the three-dimensional spatial slices in terms of a SU(2) gauge field and its complementary variable. The Hamiltonian was much simplified in this...
relations obeyed by fermionicfields. Examples include scalar fields, describing spin-0 particles such as the Higgs boson, and gauge fields, describing spin-1...
formalism, composite fields, which are usually nonlocal, are used to model asymptotic bound states. Fermionicfield Bosonic field Auxiliary field v t e...
in spacetime. These arrows are described by a field "living" on the string. This is a fermionicfield, because at each point of the string there is only...
found to be equal and opposite to that of a proton. Physics portal Fermionicfield Hydrogen Hydron (chemistry) List of particles Proton–proton chain Quark...
point xi; A fermionicfield ψ(xi) is represented by a solid line attached to the point xi with an arrow toward the point; An anti-fermionicfield ψ(xi) is...
early use in physics to express a path integral representation for fermionicfields, although they are now widely used as a foundation for superspace,...
following fields. These describe one generation of leptons and quarks, and there are three generations, so there are three copies of each fermionicfield. By...
the above trace (Tr) leads to the requirement that all bosonic and fermionicfields be periodic and antiperiodic, respectively, with respect to the Euclidean...
annihilate a positive energy particle, and lower the energy. For a fermionicfield, the creation operator a † ( k ) {\displaystyle a^{\dagger }(k)} gives...
physics". In the context of quantum field theory, the Dirac equation is reinterpreted to describe quantum fields corresponding to spin-1⁄2 particles....
higgsino, symbol H͂ , is the superpartner of the Higgs field. A higgsino is a Dirac fermionicfield with spin 1⁄2 and it refers to a weak isodoublet with...
containing fermionic generators. Quantum field theories invariant with respect to such extended algebras are called superconformal. In superconformal field theories...
effective action for a single scalar field, however, similar results exist for multiple scalar or fermionicfields. These generating functionals also have...
boundary conditions), described by the Neveu–Schwarz algebra. For a fermionicfield, the periodicity depends on the choice of coordinates on the worldsheet...
symmetries. Bosonic fields commute while fermionicfields anticommute. In order to have a transformation that relates the two kinds of fields, the introduction...
Shing-Tung (2017). "Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions". Annals of Physics...
correspond to bosonic degrees of freedom, the anticommuting dimensions to fermionic degrees of freedom. The word "superspace" was first used by John Wheeler...
people (eponymous laws). For other lists of eponyms, see eponym. Eponym Fields of science List of eponymous laws (overlaps with this list but includes...
real-analytic, symmetric under the permutation of arguments (antisymmetric for fermionicfields), Euclidean covariant and satisfy a property known as reflection positivity...