# Unifying static and dynamic properties in 3D quantum antiferromagnets

## TL;DR

This paper combines quantum Monte Carlo simulations and quantum field theory to unify the static and dynamic properties analysis of three-dimensional quantum antiferromagnets, providing a comprehensive understanding and validation of theoretical models.

## Contribution

It introduces a combined approach linking quantum Monte Carlo data with quantum field theory descriptions for 3D quantum antiferromagnets, unifying static and dynamic property analysis.

## Key findings

- Excellent agreement between simulations and theory.
- Validation of perturbative O(3) quantum field theory.
- New methods for analytical guidance of numerical studies.

## Abstract

Quantum Monte Carlo simulations offer an unbiased means to study the static and dynamic properties of quantum critical systems, while quantum field theory provides direct analytical results. We study three dimensional, critical quantum antiferromagnets by performing a combined analysis using both quantum field theory calculations and quantum Monte Carlo data. Explicitly, we analyze the order parameter (staggered magnetization), N\'eel temperature, quasiparticle gaps, and 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. The remarkable agreement not only unifies the description of the static and dynamic properties of the system, but also constitutes a thorough test of perturbative O(3) quantum field theory and opens new avenues for the analytical guidance of detailed numerical studies.