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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeFeb 1st 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexI 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 $\Delta_F$?

   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 $\Delta_F$?