Document Type

Article

Publication Date

2024

DOI

10.1103/PhysRevD.110.094509

Publication Title

Physical Review D

Volume

110

Issue

9

Pages

094509 (1-14)

Abstract

The Gribov-Zwanziger scenario attributes the phenomenon of confinement to the instantaneous interaction term in the QCD Hamiltonian in the Coulomb gauge. For a static quark-antiquark pair, it leads to a potential energy that increases linearly with the distance between them. Lattice studies of the SU(2) Yang-Mills theory determined the corresponding (Coulomb) string tension for sources in the fundamental representation, 𝜎𝐶, to be about 3 times larger than the Wilson loop string tension, 𝜎𝐹. It is far above the Zwanziger variational bound, 𝜎𝐶 ≥𝜎𝐹. We argue that the value often reported in the literature is artificially inflated. We examine the lattice definition of the instantaneous potential, find the source of the string tension’s enhancement, and perform its improved determination in SU(2) lattice gauge theory. We report our conservative estimate for the value of the Coulomb string tension as 𝜎𝐶/𝜎𝐹 = 2.0 ±0.4 and discuss its phenomenological implications.

Rights

© 2024 The Authors.

Published under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) 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.

Original Publication Citation

Dawid, S. M., Smith, W. A., Rodas, A., Perry, R. J., Fernández-Ramírez, C., Swanson, E. S., & Szczepaniak, A. P. (2024). Coulomb confinement in the Hamiltonian limit. Physical Review D, 110(9), 1-14, Article 094509. https://doi.org/10.1103/PhysRevD.110.094509

ORCID

0000-0003-2702-5286 (Rodas)

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