this is for holding javascript data
Eugeniu Plamadeala edited untitled.tex
about 9 years ago
Commit id: 3ba57cfd51b80732580d21c4fcf8ee0d52582d40
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index 9bf2bdf..b43ec4e 100644
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This matches eqn 1.17 of Mike's notes under the identification $\phi_I \equiv \phi^R_I,\phi_{N+I} \equiv \phi^L_I$. Moreover, by using the above we can convince ourselves that:
$$
[\rho_{R}, e^{-i \phi_R^g] \left[ \rho_R, e^{-i\phi_R^G} \right] =
[ \frac{1}{2\pi} \partial_x \phi_R^g}, \left[ \frac{1}{2\pi}\partial_x \phi_R^G, e^{-i
\phi_R^g}} ] \phi_R^G} \right] =
\delta(x-y) e^{-i\phi_R^g}(y)} delta(x-y) e^{- i \phi_R^G} $$