The spectrum of qubitized QCD: glueballs in a $S(1080)$ gauge theory

• URL: http://arxiv.org/abs/2112.08482v1
• Date: Wed, 15 Dec 2021 21:04:54 GMT
• Title: The spectrum of qubitized QCD: glueballs in a $S(1080)$ gauge theory
• Authors: Andrei Alexandru, Paulo F. Bedaque, Ruair\'i Brett, Henry Lamm
• Abstract summary: Quantum simulations of QCD require digitization of the infinite-dimensional gluon field. We present a practical digitization for $SU(3)$ gauge theories via its discrete subgroup $S(1080)$.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum simulations of QCD require digitization of the infinite-dimensional gluon field. Schemes for doing this with the minimum amount of qubits are desirable. We present a practical digitization for $SU(3)$ gauge theories via its discrete subgroup $S(1080)$. Using a modified action that allows classical simulations down to $a\approx 0.08$ fm, the low-lying glueball spectrum is computed with percent-level precision at multiple lattice spacings and shown to extrapolate to the continuum limit $SU(3)$ results. This suggests that this digitization scheme is sufficient for precision quantum simulations of QCD.

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