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Quantum Simulation

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

arXiv
Authors: Rui Xian Siew, Shailesh Chandrasekharan, Tanmoy Bhattacharya

Year

2025

Paper ID

36671

Status

Preprint

Abstract Read

~2 min

Abstract Words

124

Citations

N/A

Abstract

We argue that a simple qubit-regularized SU(2) 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 E8 quantum field theory (QFT) that can be interpreted as one-dimensional analogues of glueballs. Furthermore, we find sqrtσ/m1 = 0.249(1) where σ is the string tension between two static quarks and m1 is the mass of the lightest glueball.

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  • We argue that a simple qubit-regularized SU(2) lattice gauge theory (LGT) on a plaquette chain serves as a pseudo-one-dimensional toy model for Yang-Mills (YM) theory in three...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.11068 [2] arXiv https://arxiv.org/abs/2512.11068 [3] Publisher https://arxiv.org/abs/2512.11068

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