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On a new type of divergence for spiky Wilson loops and related entanglement entropies

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An Erratum to this article was published on 16 May 2018

A preprint version of the article is available at arXiv.

Abstract

We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike contributes a leading divergent term proportional to the inverse of the square root of the cutoff times the jump of the curvature. As nextleading term appears a logarithmic one in the supersymmetric case, but it is absent in QCD. The strong coupling result, obtained from minimal surfaces in AdS via holography, can be used also for applications to entanglement entropy in (2+1)-dimensional CFT’s.

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Authors and Affiliations

  1. Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, D-12489, Berlin, Germany

    Harald Dorn

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  1. Harald Dorn
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Correspondence to Harald Dorn.

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ArXiv ePrint: 1801.10367

An erratum to this article can be found online at http://dx.doi.org/10.1007/JHEP05(2018)108.

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Dorn, H. On a new type of divergence for spiky Wilson loops and related entanglement entropies. J. High Energ. Phys. 2018, 124 (2018). https://doi.org/10.1007/JHEP03(2018)124

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  • DOI: https://doi.org/10.1007/JHEP03(2018)124

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