The classical-field limit aims to describe highly occupied bosonic quantum systems by nonlinear random fields. In this talk, I will present two results illustrating the equilibrium and dynamical aspects of this limit.First, for a three-dimensional interacting Bose gas in a near-critical grand-canonical regime, we derive the complex \Phi^4_3 measure from the many-body quantum Gibbs state. The proof proceeds through an intermediate nonlocal Hartree field theory. Variational and semiclassical arguments, together with quantitative de Finetti analysis and higher-order correlation estimates, connect the quantum Gibbs state to the Hartree measure. Stochastic quantization and paracontrolled calculus are then used to identify the zero-range limit of the Hartree measures with the local Φ34theory. An additional finite mass correction appears because the renormalization compatible with the microscopic Bose-gas Hamiltonian differs from the intrinsic nonlocal Wick renormalization.Second, for regular positive-type interactions in dimensions two and three, we derive the ordered time-dependent correlations of the renormalized Hartree NLS flow from the corresponding many-body Heisenberg dynamics. In these dimensions, the scaled particle number is not uniformly bounded, so the global number-cutoff argument used in one dimension is no longer available. Instead, the proof combines convergence of the quantum generators in Gibbs-weighted Hilbert spaces, positivity and compactness of limiting functionals, and uniqueness of positive solutions to the limiting Liouville equation under domination by the Gibbs measure.This talk is based on joint work with Phan Th\`anh Nam and Xiangchan Zhu.