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nLab > Latest Changes: worldline formalism

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 13th 2013
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 10th 2018
    • (edited Feb 10th 2018)

    added a little more to worldline formalism.

    In particular I added mentioning of this old but curious fact, which I only just learned of from looking again at the review Schubert 96:

    In (Metsaev-Tseytlin 88) the 1-loop beta function for pure Yang-Mills theory was obtained as the point-particle limit of the partition function of a bosonic open string in a Yang-Mills background field. This provided a theoretical explanation for the observation, made earlier in (Nepomechie 83) that when computed via dimensional regularization then this beta function coefficient of Yang-Mills theory vanishes in spacetime dimension 26. This of course is the critical dimension of the bosonic string.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 13th 2019

    added pointer to today’s

    • Steven Abel, Nicola Andrea Dondi, UV Completion on the Worldline (arXiv:1905.04258)

    diff, v17, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 2nd 2019

    added this pointer

    Discussion for QCD with emphasis of 2d QCD and AdS/QCD:

    • Adi Armoni, Oded Mintakevich, Comments on Mesonic Correlators in the Worldline Formalism, Nuclear Physics B, Volume 852, Issue 1, 1 November 2011, Pages 61-70 (arxiv:1102.5318)

    diff, v19, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJun 5th 2020

    added pointer to today’s

    • Olindo Corradini, Maurizio Muratori, A Monte Carlo Approach to the Worldline Formalism in Curved Space (arXiv:2006.02911)

    diff, v22, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeOct 6th 2020

    added pointer to today’s

    • Gustav Mogull, Jan Plefka, Jan Steinhoff, Classical black hole scattering from a worldline quantum field theory (arXiv:2010.02865)

    diff, v23, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeApr 19th 2021

    added pointer to today’s:

    diff, v24, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJun 24th 2021

    added pointer to today’s

    diff, v25, current

  9. Added some more recent references to relevant papers

    WorldlineWalker

    diff, v27, current

  10. Added reference to Feynman’s observation regarding a particle path integral representation of the propagator in scalar QED as far back as 1950.

    Added reference to the famous “AAM” paper on worldline instantons and pair creation

    WorldlineWalker

    diff, v27, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeNov 10th 2021

    Thanks!

    I have added author links and DOI link to this item:

    diff, v28, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeNov 22nd 2021

    added pointer to:

    diff, v29, current

1 to 12 of 12

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