deletions | additions       diff --git a/untitled.tex b/untitled.tex  index f868a0f..099821c 100644  --- a/untitled.tex  +++ b/untitled.tex 
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$$ P = - \sum_I k_{F,I} ( \psi^\dagger_{R,I} \psi_{R,I} - \psi^\dagger_{L,I} \psi_{L,I} ) + \sum_I (\psi^\dagger_{R,I} (i\partial_x) \psi_{R,I} + \psi^\dagger_{L,I} (i\partial_x) \psi_{L,I} )$$  Bosons (we have a factor of 2 difference in the $k_F$ term Mike, eq 1.22)  $$ P = \frac{1}{4\pi} \sum_I k_{F,I} \left(\partial_x \phi_I - \partial_x \phi_{N+I} \right) + \frac{1}{4\pi} \sum_I  \left( (\partial_x \phi_I)^2 - (\partial_x \phi_{N+I})^2 \right) $$