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Spectrum of digitized QCD: Glueballs in a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1080</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> gauge theory
A. Alexandru, P. Bedaque, R. Brett, Henry Lamm·December 15, 2021·DOI: 10.1103/PhysRevD.105.114508
Physics
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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.