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Sep 23, 2019 at 12:47 comment added M.Jo You need to explain how you arrived at your equation $\langle T_{z\bar{z}} \rangle = \ldots = -2 \partial^2 \omega$, because if you naively take derivatives of the log, then the limit $z_2 \to z_1$ is divergent. So the first step in getting to a correct proof is to fix this problem. Then with a correct regularization of the 2-point function you should obtain the right result.
Sep 13, 2019 at 18:51 comment added Qmechanic Possible duplicate: physics.stackexchange.com/q/442846/2451
Sep 13, 2019 at 18:32 history asked user1379857 CC BY-SA 4.0