Conformal invariance of the two-dimensional Gaussian free field
= Conformal invariance of the two-dimensional Gaussian free field
{c}
If $\phi:D\to\widetilde D$ is a <conformal map>, pulling back a zero-boundary Gaussian free field on $\widetilde D$ gives a zero-boundary Gaussian free field on $D$. This follows from the conformal invariance of the planar Dirichlet Green function.