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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

    η εdiag(1+iε,1+iε,,1+iε) \eta_\epsilon \coloneqq diag( -1 + i \epsilon, 1+ i \epsilon , \dots , 1 + i \epsilon )

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

    The question: does the limit satisfy

    Δ F=limε0ΛΔ F,ε,Λ \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 Δ F\Delta_F?

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