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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeFeb 1st 2018

I created a stub entry for Hörmander topology, just to record some references.

The following seems to be waiting for somebody to answer it:

Consider the deformed Minkowski metric

$\eta_\epsilon \coloneqq diag( -1 + i \epsilon, 1+ i \epsilon , \dots , 1 + i \epsilon )$

for $\epsilon \gt 0 \in \mathbb{R}$.Then consider the $\epsilon$-deformed Feynman propagator $\Delta_{F,\epsilon,\Lambda}$ with momentum cut off with scale $\Lambda$.

The question: does the limit satisfy

$\Delta_{F} \;=\; \underset{ {\epsilon \to 0} \atop {\Lambda \to \infty} }{\lim} \Delta_{F,\epsilon,\Lambda}$

in the Hörmander topology for tempered distributions with wave front set contained in that of the genuine Feynman propagator $\Delta_F$?