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
Andrei Alexandru, Paulo F. Bedaque, Ruairí Brett, Henry Lamm
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 $a\ensuremath{\approx}0.08\text{ }\text{ }\mathrm{fm}$, the low-lying glueball spectrum is computed with percent-level precision at multiple lattice spacings and is shown to extrapolate to the continuum limit $SU(3)$ results. This suggests that this digitization scheme is sufficient for precision quantum simulations of QCD.
Topics & Concepts
GlueballDigitizationQuantum chromodynamicsPhysicsApproxAlgorithmParticle physicsMathematicsComputer scienceComputer visionOperating systemParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research