= Chiral boost weights in two spacetime dimensions
{title2=$\psi_R'(x')=e^{\alpha/2}\psi_R(x),\quad\psi_L'(x')=e^{-\alpha/2}\psi_L(x)$}
For the coordinate <Lorentz boost> $t'=t\cosh\alpha+x\sinh\alpha$, $x'=t\sinh\alpha+x\cosh\alpha$, the spinor convention $\psi'(x')=S\psi(x)$ gives $S=\exp(\alpha\gamma^5/2)$. In the <Dirac field in two spacetime dimensions> basis, this yields the displayed weights. The derivatives $\partial_t+\partial_x$ and $\partial_t-\partial_x$ scale by $e^{-\alpha}$ and $e^\alpha$, respectively, so the two <kinetic terms> are invariant. Opposite weights cancel in the <Dirac mass term>. Reversing the coordinate boost convention reverses both exponents.
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