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Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop.

Curry, Chris and Mansfield, Paul (2018) 'Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop.', Journal of high energy physics., 2018 (6). p. 81.


We study contact interactions for long world-lines on a curved surface, focusing on the average number of times two world-lines intersect as a function of their end-points. The result can be used to extend the concept of path-ordering, as employed in the Wilson loop, from a closed curve into the interior of a surface spanning the curve. Taking this surface as a string world-sheet yields a generalisation of the string contact interaction previously used to represent the Abelian Wilson loop as a tensionless string. We also describe a supersymmetric generalisation.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:07 June 2018
Date deposited:26 June 2018
Date of first online publication:18 June 2018
Date first made open access:No date available

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