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nLab > Latest Changes: Wick rotation

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJun 30th 2013

    added a bit more text to the Idea-section at Wick rotation and in particular added cross-links with Osterwalder-Schrader theorem.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 9th 2018

    added an overview-diagram to the Idea section (copied over from Euclidean field theory)

    diff, v17, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeNov 9th 2018

    Does this Wick rotation story ’lift’ to some relation between stable cohomotopy spaces?

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 9th 2018
    • (edited Nov 9th 2018)

    Right, so by the discussion at stable splitting of mapping spaces we have that the real cohomology of the space of spatially compactly supported cocycles in degree-4 cohomotopy on Minkowski spacetime (“Lorentzian instantons”) is equivalently correlators of Euclidean field theory on R 3×S 1R^3 \times S^1, hence Is Wick-rotated n-point functions of relativistic field theory on Minkowski spacetime at finite temperature.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 10th 2018

    added a few more words to the Idea-section, and pointed more prominently to Fulling-Ruijsenaars 87

    diff, v20, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 10th 2018
    • (edited Nov 10th 2018)

    added picture of the rotation doing it’s thing

    diff, v21, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeApr 19th 2021

    added these pointers:

    On the (non-)existence of Wick rotation for quantum field theory on curved spacetimes:

    MathOverflow comments:

    See also:

    diff, v24, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeDec 10th 2021
    • (edited Dec 10th 2021)

    added pointer to the recent writeup:

    and this recent talk:

    • Graeme Segal, Wick Rotation and the Positivity of Energy in Quantum Field Theory, talk at IAS Physics Group Meeting, December 2021 (video recording)

    following up on talks revolving around the same idea, such as

    • Graeme Segal, Wick rotation and the positivity of energy in quantum field theory, talk at Institut des Hautes Études Scientifiques (IHÉS), June 2014 (video recording)

    which the entry already used to be linking to.

    diff, v25, current

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