Minimally Truncated SU(3) Lattice Gauge Theory and String Tension
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908767317131264 |
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| author | Chen, Vincent Müller, Berndt Yao, Xiaojun |
| author_facet | Chen, Vincent Müller, Berndt Yao, Xiaojun |
| contents | We study SU(3) gauge theory on small lattices in the minimal (qutrit) electric field truncation retaining only the ${\bf 1}, {\bf 3}, {\bf \overline{3}}$ 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($N_c$) 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_10065 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Minimally Truncated SU(3) Lattice Gauge Theory and String Tension Chen, Vincent Müller, Berndt Yao, Xiaojun High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics We study SU(3) gauge theory on small lattices in the minimal (qutrit) electric field truncation retaining only the ${\bf 1}, {\bf 3}, {\bf \overline{3}}$ 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($N_c$) 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. |
| title | Minimally Truncated SU(3) Lattice Gauge Theory and String Tension |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2601.10065 |