  Fractonic many-body systems with higher-rank symmetry admit exotic
conservation of higher moments and have been recently focused on intensively.
But microscopic Hamiltonians often look quite intricate, highly anisotropic and
fine-tuned. In this paper, we attempt to identify higher-rank symmetry as an
emergent phenomenon at low energies. We start with a more realistic Hamiltonian
of interacting $d$-component bosons in $d$ dimensions. At symmetric points, the
$i$-th component is dispersive only along the $\hat{x}_i$-th direction, which
renders the conservation of angular moments -- a typical example of higher
moments. We find that, all symmetry-breaking kinetic terms, which are usually
unavoidable in real systems, become irrelevant in a wide parameter region. In
other words, starting from a less fine-tuned Hamiltonian without symmetry, we
can potentially achieve emergent higher-rank symmetry and higher-moment
conservation at low energies. A detailed one-loop Wilson's perturbative
renormalization-group study is performed, leading to a phase diagram of
symmetry-breaking kinetic energy v.s. interaction strength. Such a scenario
holds promise for both theoretical and experimental realization of higher-rank
symmetry, higher-moment conservation, and the resulting exotic non-equilibrium
physics.
