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

Curry, Chris; Mansfield, Paul

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


Authors

Chris Curry

Paul Mansfield



Abstract

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.

Journal Article Type Article
Acceptance Date Jun 7, 2018
Online Publication Date Jun 18, 2018
Publication Date Jun 18, 2018
Deposit Date Jun 22, 2018
Publicly Available Date Jun 26, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 6
Article Number 81
DOI https://doi.org/10.1007/jhep06%282018%29081
Public URL https://durham-repository.worktribe.com/output/1356526
Related Public URLs https://arxiv.org/abs/1712.04760

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.






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