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

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

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 int...

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Bibliographic Details
Main Authors: Chris Curry, Paul Mansfield
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Journal of High Energy Physics
Subjects:
Bosonic Strings
Long strings
Wilson, ’t Hooft and Polyakov loops
Field Theories in Lower Dimensions
Online Access:http://link.springer.com/article/10.1007/JHEP06(2018)081
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spelling doaj-05e89df32f9a49bb8a0378cb4e963c492020-11-25T01:11:57ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-012018612710.1007/JHEP06(2018)081Intersection of world-lines on curved surfaces and path-ordering of the Wilson loopChris Curry0Paul Mansfield1Centre for Particle Theory, University of DurhamCentre for Particle Theory, University of DurhamAbstract 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.http://link.springer.com/article/10.1007/JHEP06(2018)081Bosonic StringsLong stringsWilson, ’t Hooft and Polyakov loopsField Theories in Lower Dimensions
collection DOAJ
language English
format Article
sources DOAJ
author Chris Curry
Paul Mansfield
spellingShingle Chris Curry
Paul Mansfield
Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop
Journal of High Energy Physics
Bosonic Strings
Long strings
Wilson, ’t Hooft and Polyakov loops
Field Theories in Lower Dimensions
author_facet Chris Curry
Paul Mansfield
author_sort Chris Curry
title Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop
title_short Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop
title_full Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop
title_fullStr Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop
title_full_unstemmed Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop
title_sort intersection of world-lines on curved surfaces and path-ordering of the wilson loop
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2018-06-01
description 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.
topic Bosonic Strings
Long strings
Wilson, ’t Hooft and Polyakov loops
Field Theories in Lower Dimensions
url http://link.springer.com/article/10.1007/JHEP06(2018)081
work_keys_str_mv AT chriscurry intersectionofworldlinesoncurvedsurfacesandpathorderingofthewilsonloop
AT paulmansfield intersectionofworldlinesoncurvedsurfacesandpathorderingofthewilsonloop
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