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

• URL: http://arxiv.org/abs/2512.11068v1
• Date: Thu, 11 Dec 2025 19:36:28 GMT
• Title: Asymptotic-freedom and massive glueballs in a qubit-regularized SU(2) gauge theory
• Authors: Rui Xian Siew, Shailesh Chandrasekharan, Tanmoy Bhattacharya,
• Abstract summary: We map the chain Hamiltonian to the Transverse Field Ising Model in a uniform magnetic field and demonstrate that it can be tuned to a continuum limit.<n>We find that the long-distance regime contains massive excitations of the $E_8$ quantum field theory that can be interpreted as one-dimensional analogues of glueballs.
• Score: 3.154883168946718
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We argue that a simple qubit-regularized $\mathrm{SU}(2)$ lattice gauge theory on a plaquette chain serves as a pseudo-one-dimensional toy model for Yang-Mills theory in three spatial dimensions. We map the chain Hamiltonian to the Transverse Field Ising Model 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 describing free Majorana fermions, while the long-distance regime contains massive excitations of the $E_8$ quantum field theory that can be interpreted as one-dimensional analogues of glueballs. Furthermore, we find $\sqrtσ/m_1 = 0.1763(5)$ where $σ$ is the string tension between two static quarks and $m_1$ is the mass of the lightest glueball.

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