Dirac Field
In
physics
, a
Dirac field
is a
fermionic
field (usually a quantized field, as usual in
quantum field theory
) associated with
spin
1/2 fermions such as the
electron
or
muon
. The Dirac field transforms as the unconstrained
spinor
, and it satisfies the
Dirac equation
. The usual free
Lagrangian
for the Dirac field is
{\mathcal L} = \bar\Psi (i\partial_\mu \gamma^\mu - m)\Psi
The Dirac fields are important components of
Quantum electrodynamics
and the
Standard model
. A Dirac field is equivalent to two
Majorana fields
with the same mass. A massless Dirac field is equivalent to two (massless)
Weyl fields
.
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