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Representation dependence of k -strings in pure Yang-Mills theory via supersymmetry

Anber, Mohamed M.; Pellizzani, Vito

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Authors

Vito Pellizzani



Abstract

We exploit a conjectured continuity between super Yang-Mills on R 3 × S 1 and pure Yang-Mills to study k -strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality of a representation R to the leading order. However, the next-to-leading order correction is not universal and is given by the group characters, in the representation R , of the permutation group. We also study W-bosons in super Yang-Mills. We show that they are deconfined on the string world sheet, and therefore, they can change neither the string N-ality nor its tension. This phenomenon mirrors the fact that soft gluons do not screen probe charges with nonzero N-ality in pure Yang-Mills. Finally, we comment on the scaling law of k -strings in super Yang-Mills and compare our findings with strings in Seiberg-Witten theory, deformed Yang-Mills theory, and holographic studies that were performed in the ’t Hooft large- N limit.

Citation

Anber, M. M., & Pellizzani, V. (2017). Representation dependence of k -strings in pure Yang-Mills theory via supersymmetry. Physical Review D, 96(11), Article 114015. https://doi.org/10.1103/physrevd.96.114015

Journal Article Type Article
Online Publication Date Dec 14, 2017
Publication Date Dec 1, 2017
Deposit Date Oct 3, 2021
Publicly Available Date Mar 29, 2024
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 96
Issue 11
Article Number 114015
DOI https://doi.org/10.1103/physrevd.96.114015

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Copyright Statement
Reprinted with permission from the American Physical Society: Anber, Mohamed M. & Pellizzani, Vito (2017). Representation dependence of k -strings in pure Yang-Mills theory via supersymmetry. Physical Review D 96(11): 114015. © (2017) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission.





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