Continuum limit of a qubit-regularized SU(3) lattice gauge theory with glueballs

• URL: http://arxiv.org/abs/2603.01215v1
• Date: Sun, 01 Mar 2026 18:20:45 GMT
• Title: Continuum limit of a qubit-regularized SU(3) lattice gauge theory with glueballs
• Authors: Rui Xian Siew, Shailesh Chandrasekharan, Tanmoy Bhattacharya,
• Abstract summary: We show that a simple qubit-regularized $mathrmSU(3)$ lattice gauge theory on a plaquette chain admits a continuum limit with massive glueball excitations.<n>By mapping the plaquette-chain Hamiltonian to the three-state quantum clock model in a magnetic field, we demonstrate that the theory can be tuned to a continuum limit governed at short distances.
• Score: 3.154883168946718
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show that a simple qubit-regularized $\mathrm{SU}(3)$ lattice gauge theory (LGT) on a plaquette chain admits a continuum limit with massive glueball excitations, providing a minimal toy model of strong interactions without quarks. By mapping the plaquette-chain Hamiltonian to the three-state quantum clock model in a magnetic field, we demonstrate that the theory can be tuned to a continuum limit governed at short distances by the $\mathbb{Z}_3$ parafermion conformal field theory (CFT), which serves as the ultraviolet (UV) fixed point. A small relevant magnetic perturbation then drives the system to a massive continuum quantum field theory in the infrared (IR). The resulting relativistic massive particles can be interpreted as quasi one-dimensional analogues of glueballs. In the continuum theory we compute the ratio of the lowest glueball masses with opposite charge conjugation to be $m^{-}/m^{+} = \,1.459(2)$ and find $\sqrtσ/m^{+}\,= 0.2648(2)$, where $σ$ is the string tension between a static quark and antiquark.

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