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’t Hooft loop in a center-vortex wave functional

D. R. Junior1,2,3, L. E. Oxman1, and H. Reinhardt3

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Phys. Rev. D 114, 014026 – Published 10 July, 2026

DOI: https://doi.org/10.1103/tft9-w6d8

Abstract

Previously, we proposed an infrared vacuum wave functional for SU(N) Yang-Mills theory peaked at thin center vortices and showed that it yields an area law for the Wilson loop. In this work, we use this wave functional to calculate the spatial ’t Hooft loop, for which we find a perimeter law, in accordance with ’t Hooft’s criterion for confinement.

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Phys. Rev. D 114, 014026– Published 10 July, 2026
  • Received 8 April 2026
  • Accepted 1 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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