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Minimally truncated SU(3) lattice gauge theory and string tension

Vincent Chen* and Berndt Müller†

Xiaojun Yao‡

  • *Contact author: v.chen@duke.edu
  • †Contact author: berndt.mueller@duke.edu
  • ‡Contact author: xjyao@uw.edu
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Phys. Rev. D 114, 074502 – Published 5 October, 2026

DOI: https://doi.org/10.1103/1qt7-3ywl

Abstract

We study SU(3) gauge theory on small lattices in the minimal (qutrit) electric field truncation retaining only the 1,3,3¯ representations for the link variables. Explicit expressions are given for the Kogut-Susskind Hamiltonian for the square plaquette chain and the two-dimensional honeycomb lattice. Our formalism can be easily extended to the minimally truncated general SU(Nc) gauge theory. The addition of (static) quarks is discussed. We present results for the energy spectrum of the gauge field on these lattices by exact diagonalization of the Hamiltonian and analyze its statistical properties. We also compute the SU(3) string tension and discuss how it is modified by vacuum fluctuations. Finally, we calculate the potential energies of a static quark-antiquark pair and three static quarks and study their screening at finite temperature.

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Phys. Rev. D 114, 074502– Published 5 October, 2026
  • Received 21 January 2026
  • Accepted 11 September 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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