S M . [ Ψ ] = ∫ L M . d 4 x , L M . = ψ ¯ ( α μ ∂ μ − m ) ψ {\displaystyle \ S_{M.}[\Psi ]=\int L_{M.}d^{4}x,\quad L_{M.}={\bar {\psi }}(\alpha ^{\mu }\partial _{\mu }-m)\psi } ,
де
α μ = ( α 0 , σ 1 , σ 2 , σ 3 ) μ , α 0 = σ 2 K ^ , K ^ Ψ ( x ) = Ψ ∗ ( x ) {\displaystyle \ \alpha ^{\mu }=(\alpha _{0},\sigma _{1},\sigma _{2},\sigma _{3})^{\mu },\quad \alpha _{0}=\sigma _{2}{\hat {K}},\quad {\hat {K}}\Psi (x)=\Psi ^{*}(x)} ,
ψ ¯ ( x ) = ( α 0 Ψ ) † = − ψ † α 0 {\displaystyle \ {\bar {\psi }}(x)=(\alpha _{0}\Psi )^{\dagger }=-\psi ^{\dagger }\alpha _{0}} .
![{\displaystyle \ S_{M.}[\Psi ]=\int L_{M.}d^{4}x,\quad L_{M.}={\bar {\psi }}(\alpha ^{\mu }\partial _{\mu }-m)\psi }](https://wikimedia.org/api/rest_v1/media/math/render/svg/c296646fda6aca8a8f3390650f62ba1081c8a000)
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