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

Curry, Chris; Mansfield, Paul

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.

Citation

Curry, C., & Mansfield, P. (2018). Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop. Journal of High Energy Physics, 2018(6), Article 81. https://doi.org/10.1007/jhep06%282018%29081

• 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
• Electronic ISSN: 1029-8479
• 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