Kavli Affiliate: Marcela Carena
| First 5 Authors: Marcela Carena, Erik J. Gustafson, Henry Lamm, Ying-Ying Li, Wanqiang Liu
| Summary:
The advantage of simulating lattice field theory with quantum computers is
hamstrung by the limited resources that induce large errors from finite volume
and sizable lattice spacings. Previous work has shown how classical simulations
near the Hamiltonian limit can be used for setting the lattice spacings in
real-time through analytical continuation, thereby reducing errors in quantum
simulations. In this work, we derive perturbative relations between bare and
renormalized quantities in Euclidean spacetime at any anisotropy factor — the
ratio of spatial to temporal lattice spacings — and in any spatial dimension
for $U(N)$ and $SU(N)$. This reduces the required classical preprocessing for
quantum simulations. We find less than $10%$ discrepancy between our
perturbative results and those from existing nonperturbative determinations of
the anisotropy for $SU(2)$ and $U(1)$ gauge theories. For the discrete groups
$mathbb{Z}_{10}$, $mathbb{Z}_{100}$ and $mathbb{BI}$, we perform lattice
Monte Carlo simulations to extract anisotropy factors and observe similar
agreement with our perturbative results.
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