[Submitted on 11 Dec 2025] (cross-list from hep-lat)
Asymptotic-freedom and massive glueballs in a qubit-regularized SU(2) gauge theory
Rui Xian Siew🇺🇸 · Shailesh Chandrasekharan🇺🇸 · Tanmoy Bhattacharya🇺🇸
We argue that a simple qubit-regularized lattice gauge theory (LGT) on a plaquette chain serves as a pseudo-one-dimensional toy model for Yang-Mills (YM) theory in three spatial dimensions. We map the chain Hamiltonian to the Transverse Field Ising Model (TFIM) in a uniform magnetic field and demonstrate that it can be tuned to a continuum limit in which the short-distance physics is governed by the asymptotically free Ising conformal field theory (CFT) describing free Majorana fermions, while the long-distance regime contains massive excitations of the quantum field theory (QFT) that can be interpreted as one-dimensional analogues of glueballs. Furthermore, we find where is the string tension between two static quarks and is the mass of the lightest glueball.
- 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
- Subjects:
- High Energy Physics — Lattice (hep-lat); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
- arXiv:
- 2512.11068 [pdf]