Abstract
Quantum Monte Carlo offers an unbiased means to study the static and dynamic properties of quantum critical systems, while quantum field theory provides direct analytical results in terms of the quasiparticle excitations. We study three dimensional, critical quantum antiferromagnets performing a combined analysis by means of quantum field theory calculations and quantum Monte Carlo data. Explicitly, we analyse the order parameter (staggered magnetisation), Neel temperature, quasiparticle gaps, as well as the susceptibilities in the scalar and vector channels. We connect the two approaches by deriving descriptions of the quantum Monte Carlo observables in terms of the quasiparticle excitations of the field theory, which reduces the number of fitting parameters. Agreement is remarkable, and constitutes a thorough test of perturbative O(3) quantum field theory. We outline future avenues of research the present work opens up.
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