Answer by NinjaDarth for Deriving adjoint Dirac equation from Lagrangian
With all the constants made explicit...$$\begin{align}\mathcal{L}&= iħ \bar{ψ} γ^μ∂_μψ - mc \bar{ψ} ψ\\Δ\mathcal{L}&= iħΔ\bar{ψ} γ^μ∂_μψ+ iħ \bar{ψ} γ^μ∂_μΔψ - mc Δ\bar{ψ} ψ - mc \bar{ψ}...
View ArticleAnswer by Arturo don Juan for Deriving adjoint Dirac equation from Lagrangian
If you want to derive the equation of motion for $\bar \psi$, then you already have it. It's commonly written as$$\bar \psi \left(i\gamma^\mu \overleftarrow{\partial}_\mu+m\right)=0$$Where it's...
View ArticleDeriving adjoint Dirac equation from Lagrangian
I'm trying to derive the adjoint Dirac equation from the Lagrangian:$$\mathcal{L}=i\bar{\psi}\gamma^\mu\partial_\mu\psi-m\bar{\psi}\psi$$To start, I plugged it into the Euler-Lagrange equation with my...
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