Asymptotic-freedom and massive glueballs in a qubit-regularized SU(2) gauge theory

arXiv:2512.11068 · hep-lat, cond-mat.str-el, hep-th, nucl-th, quant-ph · Submitted 2025-12-11 · Read on arXiv

hep-lat, cond-mat.str-el, hep-th, nucl-th, quant-ph

Submitted: 2025-12-11

Updated: 2026-01-20

Comments: 8 pages, 9 figures. Computed the space-time asymmetry factor required to correctly compute the universal ratio involving the string tension. Added Supplementary Material, one figure, and two references. Corrected a typo in the Supplementary Material

Journal ref: Phys. Rev. D 113, 114522 (2026)

DOI: 10.1103/2cy4-cp7f

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Hilbert Space — 18× in this paper · explained in 2 episodes
• Regularization — 8× in this paper · explained in 3 episodes
• Hamiltonian to the Transverse Field Ising Model — 2× in this paper
• Accuracy — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes

Sources

• Quantum Simulating Nature's Fundamental Fields
• $\mathbb{Z}_N$ lattice gauge theory in a ladder geometry
• Discrete Abelian lattice gauge theories on a ladder and their dualities with quantum clock models
• SU(2) Gauge Theory in $2+1$ Dimensions on a Plaquette Chain Obeys the Eigenstate Thermalization Hypothesis
• Monomer-dimer tensor-network basis for qubit-regularized lattice gauge theories
• Qubit Regularization and Qubit Embedding Algebras
• Qubit regularization of asymptotic freedom
• Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization
• The Spin-Spin Correlation Function in the Two-Dimensional Ising Model in a Magnetic Field at $T=T_c$
• Correlation Functions in the Two-dimensional Ising Model in a Magnetic Field at $T=T_c$
• Ising Spectroscopy I: Mesons at T < T_c
• Real-Time Scattering in Ising Field Theory using Matrix Product States
• Projected Density Matrix Sampling for Lattice Hamiltonians
• Meson mass spectrum in Ising Field Theory
• Confinement in the q-state Potts field theory
• Particle spectrum of the 3-state Potts field theory: a numerical study

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• Continuum limit of a qubit-regularized SU(3) lattice gauge theory on a plaquette chain